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Finding the Third Proportional to 672,952 and 1,451,569

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Solution

The third proportional to 672,952 and 1,451,569 is: 3,131,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,952 : 1,451,569 = 1,451,569 : x
  2. Step 2: Convert to fraction form
    672,952/1,451,569 = 1,451,569/x
  3. Step 3: Cross multiply
    672,952x = 1,451,569 × 1,451,569
  4. Step 4: Simplify right side
    672,952x = 2,107,052,561,761
  5. Step 5: Solve for x
    x = 2,107,052,561,761/672,952
  6. Step 6: Final answer
    x = 3,131,059.22

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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.