A method, comprising: (a) heating a chemical blend, wherein the chemical blend includes: a mixture of a titanium-bearing ore and a vanadium-bearing ore; an Al reducing agent, configured to reduce the titanium and vanadium bearing ore mixture to a crude titanium-aluminum-vanadium alloy product; and a viscosity agent; (b) initiating an extraction reaction in the chemical blend to form: a crude titanium-aluminum-vanadium alloy product wherein the extracted product includes at least 3.0 wt% oxygen, and a residual slag; and (c) separating the residual slag from the crude titanium-aluminum-vanadium alloy product, wherein via the chemical blend ratio, the viscosity agent adjusts the slag viscosity to allow for efficient separation of the crude titanium-aluminum-vanadium alloy product from the residual slag into two layers during the reaction; (d) configuring the crude titanium-aluminum-vanadium alloy product from the extraction reaction as an anode in an electrolytic cell, wherein the electrolytic cell is configured with an electrolyte; (e) heating the electrolyte to a temperature between 600°C and 900°C to provide a molten electrolyte, wherein the molten electrolyte is retained in a reaction vessel and is in contact with the anode and a cathode; i. directing a current from the anode, through the molten electrolyte bath to the cathode; ii. depositing a refined titanium-aluminum-vanadium alloy product on the cathode; and iii. recovering the refined titanium-aluminum-vanadium alloy product from the reaction vessel, wherein the refined titanium-aluminum-vanadium alloy product includes at least 85 wt. % titanium and 5.0 wt. % aluminum and 3.0 wt. % vanadium. (a) heating a chemical blend, wherein the chemical blend includes: a mixture of a titanium-bearing ore and a vanadium-bearing ore; an Al reducing agent, configured to reduce the titanium and vanadium bearing ore mixture to a crude titanium-aluminum-vanadium alloy product; and a viscosity agent; a mixture of a titanium-bearing ore and a vanadium-bearing ore; an Al reducing agent, configured to reduce the titanium and vanadium bearing ore mixture to a crude titanium-aluminum-vanadium alloy product; and a viscosity agent; (b) initiating an extraction reaction in the chemical blend to form: a crude titanium-aluminum-vanadium alloy product wherein the extracted product includes at least 3.0 wt% oxygen, and a residual slag; and (c) separating the residual slag from the crude titanium-aluminum-vanadium alloy product, wherein via the chemical blend ratio, the viscosity agent adjusts the slag viscosity to allow for efficient separation of the crude titanium-aluminum-vanadium alloy product from the residual slag into two layers during the reaction; (d) configuring the crude titanium-aluminum-vanadium alloy product from the extraction reaction as an anode in an electrolytic cell, wherein the electrolytic cell is configured with an electrolyte; (e) heating the electrolyte to a temperature between 600°C and 900°C to provide a molten electrolyte, wherein the molten electrolyte is retained in a reaction vessel and is in contact with the anode and a cathode; i. directing a current from the anode, through the molten electrolyte bath to the cathode; ii. depositing a refined titanium-aluminum-vanadium alloy product on the cathode; and iii. recovering the refined titanium-aluminum-vanadium alloy product from the reaction vessel, wherein the refined titanium-aluminum-vanadium alloy product includes at least 85 wt. % titanium and 5.0 wt. % aluminum and 3.0 wt. % vanadium. i. directing a current from the anode, through the molten electrolyte bath to the cathode; ii. depositing a refined titanium-aluminum-vanadium alloy product on the cathode; and iii. recovering the refined titanium-aluminum-vanadium alloy product from the reaction vessel, wherein the refined titanium-aluminum-vanadium alloy product includes at least 85 wt. % titanium and 5.0 wt. % aluminum and 3.0 wt. % vanadium.