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Finding the Third Proportional to 807,584,654 and 1,752,997,976

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Solution

The third proportional to 807,584,654 and 1,752,997,976 is: 3,805,176,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,584,654 : 1,752,997,976 = 1,752,997,976 : x
  2. Step 2: Convert to fraction form
    807,584,654/1,752,997,976 = 1,752,997,976/x
  3. Step 3: Cross multiply
    807,584,654x = 1,752,997,976 × 1,752,997,976
  4. Step 4: Simplify right side
    807,584,654x = 3,073,001,903,860,096,512
  5. Step 5: Solve for x
    x = 3,073,001,903,860,096,512/807,584,654
  6. Step 6: Final answer
    x = 3,805,176,198.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.