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Finding the Third Proportional to 713,732 and 1,569,412

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Solution

The third proportional to 713,732 and 1,569,412 is: 3,450,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,732 : 1,569,412 = 1,569,412 : x
  2. Step 2: Convert to fraction form
    713,732/1,569,412 = 1,569,412/x
  3. Step 3: Cross multiply
    713,732x = 1,569,412 × 1,569,412
  4. Step 4: Simplify right side
    713,732x = 2,463,054,025,744
  5. Step 5: Solve for x
    x = 2,463,054,025,744/713,732
  6. Step 6: Final answer
    x = 3,450,950.81

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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.