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Finding the Third Proportional to 691,022,468 and 1,059,629,934

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Solution

The third proportional to 691,022,468 and 1,059,629,934 is: 1,624,861,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,022,468 : 1,059,629,934 = 1,059,629,934 : x
  2. Step 2: Convert to fraction form
    691,022,468/1,059,629,934 = 1,059,629,934/x
  3. Step 3: Cross multiply
    691,022,468x = 1,059,629,934 × 1,059,629,934
  4. Step 4: Simplify right side
    691,022,468x = 1,122,815,597,028,844,416
  5. Step 5: Solve for x
    x = 1,122,815,597,028,844,416/691,022,468
  6. Step 6: Final answer
    x = 1,624,861,200.65

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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.