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Finding the Third Proportional to 3,737,972 and 5,680,830

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Solution

The third proportional to 3,737,972 and 5,680,830 is: 8,633,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737,972 : 5,680,830 = 5,680,830 : x
  2. Step 2: Convert to fraction form
    3,737,972/5,680,830 = 5,680,830/x
  3. Step 3: Cross multiply
    3,737,972x = 5,680,830 × 5,680,830
  4. Step 4: Simplify right side
    3,737,972x = 32,271,829,488,900
  5. Step 5: Solve for x
    x = 32,271,829,488,900/3,737,972
  6. Step 6: Final answer
    x = 8,633,512.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.