Let \( A_{1}, A_{2} \) be two arithmetic means, \( G_{1}, G_{2} \) ...

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Let \( A_{1}, A_{2} \) be two arithmetic means, \( G_{1}, G_{2} \) be two geometric means, and \( H_{1}, H_{2} \) be two harmonic means between two positive numbers \( a \) and \( b \). The value of \( \frac{G_{1} G_{2}}{H_{1} H_{2}} \cdot \frac{H_{1}+H_{2}}{A_{1}+A_{2}} \) is
-(a) \( 1 / 2 \)
(b) 1
(c) \( 3 / 2 \)
(d) 2
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