Consider the two different first order reactions given below
\( \mathrm{A + B \rightarrow C} \) \( \text{(Reaction 1)} \)
\( \mathrm{P \rightarrow Q} \) \( \text{(Reaction 2)} \)
The ratio of the half life of Reaction \( 1 : \) Reaction \( 2 \) is \( 5 : 2 \). If \( t_1 \) and \( t_2 \) represent the time taken to complete \( \dfrac{2}{3} \)rd and \( \dfrac{4}{5} \)th of Reaction 1 and Reaction 2, respectively, then the value of the ratio \( t_1 : t_2 \) is ______ \( \times 10^{-1} \) (nearest integer)
[Given: \( \log_{10}(3) = 0.477 \) and \( \log_{10}(5) = 0.699 \)]