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Sam retires today at the age of 64 and invests his life savings into an account that is guaranteed to earn 3.62% per year. Sam expects to live to the age of 91, withdraw $0.091mln from the account at the end of each year, and leave his heirs $1.289mln (this amount will be the account balance at the time of his death). How much is Sam putting in the account today, in $ million? Round to the nearest $0.001 million. E.g., if your answer is $1,234,758, record it as 1.235. Please show work.

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