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Finding the Third Proportional to 724,914 and 1,569,297

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Solution

The third proportional to 724,914 and 1,569,297 is: 3,397,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,914 : 1,569,297 = 1,569,297 : x
  2. Step 2: Convert to fraction form
    724,914/1,569,297 = 1,569,297/x
  3. Step 3: Cross multiply
    724,914x = 1,569,297 × 1,569,297
  4. Step 4: Simplify right side
    724,914x = 2,462,693,074,209
  5. Step 5: Solve for x
    x = 2,462,693,074,209/724,914
  6. Step 6: Final answer
    x = 3,397,221.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.