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Finding the Third Proportional to 672,948.25 and 1,451,561

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Solution

The third proportional to 672,948.25 and 1,451,561 is: 3,131,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,948.25 : 1,451,561 = 1,451,561 : x
  2. Step 2: Convert to fraction form
    672,948.25/1,451,561 = 1,451,561/x
  3. Step 3: Cross multiply
    672,948.25x = 1,451,561 × 1,451,561
  4. Step 4: Simplify right side
    672,948.25x = 2,107,029,336,721
  5. Step 5: Solve for x
    x = 2,107,029,336,721/672,948.25
  6. Step 6: Final answer
    x = 3,131,042.15

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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.