We prove a natural isomorphism between toral Chern-Simons theory with gauge group T=t/Λ≅ U(1)ⁿ and the Reshetikhin-Turaev theory associated with the finite quadratic module determined by an even, integral, nondegenerate symmetric bilinear form K:Λ×Λ→Z. More precisely, let G_K=Λ^*/KΛ be the discriminant group of K, equipped with its induced quadratic form q_K, and let C(G_K,q_K) be the corresponding pointed modular category. Using the geometric quantization formulation of toral Chern-Simons theory, we show that the resulting toral TQFT is naturally isomorphic to the Reshetikhin-Turaev TQFT determined by C(G_K,q_K). The comparison is established both for closed 3-manifold invariants and for bordisms with boundary, yielding an isomorphism of extended (2+1)-dimensional TQFTs.