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Finding the Third Proportional to 691,022,500 and 1,059,629,982

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Solution

The third proportional to 691,022,500 and 1,059,629,982 is: 1,624,861,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,022,500 : 1,059,629,982 = 1,059,629,982 : x
  2. Step 2: Convert to fraction form
    691,022,500/1,059,629,982 = 1,059,629,982/x
  3. Step 3: Cross multiply
    691,022,500x = 1,059,629,982 × 1,059,629,982
  4. Step 4: Simplify right side
    691,022,500x = 1,122,815,698,753,320,320
  5. Step 5: Solve for x
    x = 1,122,815,698,753,320,320/691,022,500
  6. Step 6: Final answer
    x = 1,624,861,272.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.