At the beginning of $2024,$ a company adopts the dollar$-$value LIFO inventory method for its one inventory pool. The pool's value on

that date was $$1,200,000.$ The $2024$ ending inventory valued at year$-$end costs was $$1,575,000$ and the year$-$end cost index was $1\mathrm{.}05.$

Calculate the inventory value at the end of $2024$ using the dollar$-$value LIFO method.