Insert four G.M.'s between $2$ and $486$ .

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Solution

$486 = 2. 3^{5}$
$∴$ The four GMs will be: $2 \times 3, 2 \times 3^{2}, 2 \times 3^{3}, 2 \times 3^{4}$
$= 6, 18, 54$ and $81$
The four GMs are $6, 18, 54$ and $81$

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