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Finding the Third Proportional to 713,728 and 1,569,404

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Solution

The third proportional to 713,728 and 1,569,404 is: 3,450,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,728 : 1,569,404 = 1,569,404 : x
  2. Step 2: Convert to fraction form
    713,728/1,569,404 = 1,569,404/x
  3. Step 3: Cross multiply
    713,728x = 1,569,404 × 1,569,404
  4. Step 4: Simplify right side
    713,728x = 2,463,028,915,216
  5. Step 5: Solve for x
    x = 2,463,028,915,216/713,728
  6. Step 6: Final answer
    x = 3,450,934.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.