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If A1, A2, A3 ; G1, G2, G3 ; and H1, H2,...

If `A_1, A_2, A_3 ; G_1, G_2, G_3` ; and `H_1, H_2, H_3` are the three arithmetic, geometric and harmonic means between two positive numbers `a` and `b (a > b),` then which of the following is (are) true ?

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