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Finding the Third Proportional to 724,876 and 1,569,218

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Solution

The third proportional to 724,876 and 1,569,218 is: 3,397,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,876 : 1,569,218 = 1,569,218 : x
  2. Step 2: Convert to fraction form
    724,876/1,569,218 = 1,569,218/x
  3. Step 3: Cross multiply
    724,876x = 1,569,218 × 1,569,218
  4. Step 4: Simplify right side
    724,876x = 2,462,445,131,524
  5. Step 5: Solve for x
    x = 2,462,445,131,524/724,876
  6. Step 6: Final answer
    x = 3,397,057.06

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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.