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Finding the Third Proportional to 724,906 and 1,569,281

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Solution

The third proportional to 724,906 and 1,569,281 is: 3,397,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,906 : 1,569,281 = 1,569,281 : x
  2. Step 2: Convert to fraction form
    724,906/1,569,281 = 1,569,281/x
  3. Step 3: Cross multiply
    724,906x = 1,569,281 × 1,569,281
  4. Step 4: Simplify right side
    724,906x = 2,462,642,856,961
  5. Step 5: Solve for x
    x = 2,462,642,856,961/724,906
  6. Step 6: Final answer
    x = 3,397,189.23

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Why These Related Problems?

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