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Finding the Third Proportional to 664,744 and 1,449,764

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Solution

The third proportional to 664,744 and 1,449,764 is: 3,161,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,744 : 1,449,764 = 1,449,764 : x
  2. Step 2: Convert to fraction form
    664,744/1,449,764 = 1,449,764/x
  3. Step 3: Cross multiply
    664,744x = 1,449,764 × 1,449,764
  4. Step 4: Simplify right side
    664,744x = 2,101,815,655,696
  5. Step 5: Solve for x
    x = 2,101,815,655,696/664,744
  6. Step 6: Final answer
    x = 3,161,842.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.