Question: Chicago Pile-5 was the last in the line of research reactor that began with the first, which was constructed as part of what project?

Context paragraphs:
Chicago Pile-5: Chicago Pile-5 (CP-5) was the last of the line of Chicago Pile research reactors which started with CP-1 in 1943.  The first reactor built on the Argonne National Laboratory-East site, it operated from 1954-1979.

Dhruva reactor: The Dhruva reactor is India's largest nuclear research reactor.  Located in the Mumbai (Bombay) suburb of Trombay at the Bhabha Atomic Research Centre (BARC), it is India's primary generator of weapons-grade plutonium-bearing spent fuel for its nuclear weapons program.  Originally named the R-5, this pool-type reactor first went critical on 8 August 1985 after 10 years of construction.  However, the unit did not attain full power until 1988.  The reactor experienced at least one serious accident when 4MT (four metric tons) of heavy water overflowed from the reactor core in 1985 following vibration problems.

Jordan Research and Training Reactor: The Jordan Research and Training Reactor (JRTR) is a 5MW multipurpose research reactor located on the campus of Jordan University of Science and Technology in Ar Ramtha city in northern Jordan.  The reactor was inaugurated under the patronage of King Abdullah II on 7 December 2016.  The reactor is the first nuclear facility that was exported by South Korea, and is Jordan's first nuclear reactor.

ZED-2: ZED-2 (Zero Energy Deuterium) is a zero-power nuclear research reactor built at the Chalk River Laboratories near Chalk River, Ontario, Canada.  It is the successor to the ZEEP reactor.  Designed by AECL for CANDU reactor support, the unit saw first criticality on 7 September 1960.  The reactor is still operating at Chalk River where it is used for reactor physics and nuclear fuel research.

Chicago Pile-1: Chicago Pile-1 (CP-1), was the world's first artificial nuclear reactor.  Its construction was part of the Manhattan Project, the Allied effort to create atomic bombs during World War II.  It was built by the Manhattan Project's Metallurgical Laboratory at the University of Chicago, under the west viewing stands of the original Stagg Field.  The first human-made self-sustaining nuclear chain reaction was initiated in CP-1 on 2 December 1942, under the supervision of Enrico Fermi, who described the apparatus as "a crude pile of black bricks and wooden timbers".

ETRR-1: ETRR-1 or ET-RR-1 ("Experimental Training Research Reactor Number one", and sometimes called "Egypt Test and Research Reactor Number one") is the first nuclear reactor in Egypt supplied by the former USSR in 1958.  The reactor is owned and operated by Egyptian Atomic Energy Authority (AEA) at the Nuclear Research Center in Inshas, 40–60 kilometers northeast of Cairo.

University of Missouri College of Engineering: The University of Missouri College of Engineering is one of the 19 academic schools and colleges of the University of Missouri.  The college traces its beginning to the first engineering courses taught west of the Mississippi River in 1849.  The college awards bachelors, masters, and doctoral degrees.  The college is ranked 88th nationally by the U.S. News and World Report.  The college operates the University of Missouri Research Reactor Center, the largest university research reactor in the U.S.

R1 (nuclear reactor): R1 was the first nuclear reactor of Sweden.  It was a research reactor located at the Royal Institute of Technology (KTH) campus at Valhallavägen in central Stockholm, in the rock beneath the current-day Q buildings.  The reactor was active from July 13, 1954 to June 6, 1970.  The reactor was dismantled, and there is nothing left of it today; the reactor hall however still exists.

North Carolina State University reactor program: North Carolina State University in 1950 founded the first university-based reactor program and Nuclear Engineering curriculum in the United States.  The program continues in the early 21st century.  That year, NC State College administrators approved construction of a reactor and the establishment of a collegiate nuclear engineering program.  The first research reactor was completed in 1953; it was scaled up in 1957 and 1960 (referred to as R-1, R-2, and R-3).  It was deactivated in 1973 to make way for the PULSTAR reactor.  The old reactor has been decommissioned.

Washington State University Reactor: The Washington State University Reactor (WSUR) is housed in the Washington State University Nuclear Radiation Center (WSUNRC), and was completed in 1961.  The (then) Washington State College Reactor was the brainchild of Harold W. Dodgen, a former researcher on the Manhattan Project where he earned his PhD from 1943 to 1946.  He secured funding for the ambitious 'Reactor Project' from the National Science Foundation, the Atomic Energy Commission, and the College administration totaling $479,000 (roughly $3.5 million in today's dollars).  Dodgen's basis for constructing a reactor was that the College was primly located as a training facility for the Hanford site, as well as Idaho National Laboratory because there was no other research reactor in the West at that time.  After completing the extensive application and design process with the help of contractors from General Electric they broke ground in August 1957 and the first criticality was achieved on March 7, 1961 at a power level of 1W.  They gradually increased power over the next year to achieve their maximum licensed operating power of 100 kW.

Supporting paragraphs: Chicago Pile-5 Chicago Pile-1
Answer: Manhattan Project