This study proposes the unified framework of a three-sector model with structural change where agriculture, manufacturing, and service sectors have different production technologies. All three sectors use the factors of capital, labor, and land as inputs. The constant-growth path (CGP), which is the trajectory along which the rental rate of capital remains constant, is used to reconcile the Kaldor and Kuznets facts, and plays a role in linking the wage rate and land rent in the three-factors model. Because the prices of agricultural goods and services are determined endogenously, the CGP condition is no longer the knife-edge condition. We find that the dynamic system along the CGP in the three-sector, three-factor model corresponds to the standard two-sector optimal growth model.