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Finding the Third Proportional to 747,937.13 and 1,228,780.13

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Solution

The third proportional to 747,937.13 and 1,228,780.13 is: 2,018,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,937.13 : 1,228,780.13 = 1,228,780.13 : x
  2. Step 2: Convert to fraction form
    747,937.13/1,228,780.13 = 1,228,780.13/x
  3. Step 3: Cross multiply
    747,937.13x = 1,228,780.13 × 1,228,780.13
  4. Step 4: Simplify right side
    747,937.13x = 1,509,900,595,595.02
  5. Step 5: Solve for x
    x = 1,509,900,595,595.02/747,937.13
  6. Step 6: Final answer
    x = 2,018,753.38

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.