A geometric progression has 1st term $$\(a\)$$ and common ratio $$\(r\)$$, where $$\(a \neq 0\)$$ and $$\(r \neq 1\)$$. The 1st, 2 nd and 3 rd terms of the geometric progression are the 1 st , 3 rd and 7th terms of an arithmetic progression. Find the value of $$\(r\)$$.

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