Sum to infinity (2)

\[ 1 + \left( \dfrac 13 \right) + \left( \dfrac 13 \cdot \dfrac 36 \right) + \left( \dfrac 13 \cdot \dfrac 36 \cdot \dfrac 59 \right) + \left( \dfrac 13 \cdot \dfrac 36 \cdot \dfrac 59 \cdot \dfrac{7}{12} \right) + \cdots = \, ? \]

Find the value of the closed form of the above series to 3 decimal places.

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