Calculate Sales by Price Type

Anonymous , this is a good solution, but not enough for my case. My problem is to reduce the size of the calculated table Prices per dates. Now her DAX code is as follows:

Prices per dates = 
VAR t =
    FILTER (
        CROSSJOIN (
            GROUPBY ( 'Prices', Prices[Product_id], Prices[Date_from], Prices[Date_till], Prices[Price$], Prices[Price_type] ),
            'Dates'
        ),
        'Dates'[Date] >= 'Prices'[Date_from]
            && 'Dates'[Date] < 'Prices'[Date_till]
    )
    RETURN t

But this DAX code now returns an excess of lines. Now my main task, which I can’t solve yet, is to remove these lines at the level of that DAX code. 

As a result, the calculated table Prices per dates should not have all the dates from the date range in the Prices table, but only those that are in the Sales table.
I already have a formula for getting the sales amount, it works well. The problem is in the unnecessary rows of the calculated table Prices per dates. 

Sales Amount per Prices = 
    CALCULATE (
        [Amount],
        TREATAS (
            SUMMARIZE (
                'Prices per dates',
                'Prices per dates'[Date],
                'Prices per dates'[Product_id]
            ),
            Sales[Date],
            Sales[Product_id]
        )
    )
        * AVERAGE ( 'Prices per dates'[Price$] )