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Finding the Third Proportional to 392,898,786 and 654,791,847

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Solution

The third proportional to 392,898,786 and 654,791,847 is: 1,091,253,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898,786 : 654,791,847 = 654,791,847 : x
  2. Step 2: Convert to fraction form
    392,898,786/654,791,847 = 654,791,847/x
  3. Step 3: Cross multiply
    392,898,786x = 654,791,847 × 654,791,847
  4. Step 4: Simplify right side
    392,898,786x = 428,752,362,897,671,424
  5. Step 5: Solve for x
    x = 428,752,362,897,671,424/392,898,786
  6. Step 6: Final answer
    x = 1,091,253,977.30

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.