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Finding the Third Proportional to 723,717 and 1,543,617

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Solution

The third proportional to 723,717 and 1,543,617 is: 3,292,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,717 : 1,543,617 = 1,543,617 : x
  2. Step 2: Convert to fraction form
    723,717/1,543,617 = 1,543,617/x
  3. Step 3: Cross multiply
    723,717x = 1,543,617 × 1,543,617
  4. Step 4: Simplify right side
    723,717x = 2,382,753,442,689
  5. Step 5: Solve for x
    x = 2,382,753,442,689/723,717
  6. Step 6: Final answer
    x = 3,292,382.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.