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The solution of this equation, for the range of separation where the contribution from viscous forces is negligible, yields the third-order structure function to all orders in the separation. For the case of three-dimensional turbulence, we obtain corrections, in the manner of Yakhot, to Kolmogorov's result from 1941. For the case of two-dimensional turbulence, we obtain novel predictions for the third-order structure function in the ranges dominated, respectively, by a downward enstrophy cascade and an upward energy cascade. 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