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Finding the Third Proportional to 691,022,496 and 1,059,629,976

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Solution

The third proportional to 691,022,496 and 1,059,629,976 is: 1,624,861,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,022,496 : 1,059,629,976 = 1,059,629,976 : x
  2. Step 2: Convert to fraction form
    691,022,496/1,059,629,976 = 1,059,629,976/x
  3. Step 3: Cross multiply
    691,022,496x = 1,059,629,976 × 1,059,629,976
  4. Step 4: Simplify right side
    691,022,496x = 1,122,815,686,037,760,512
  5. Step 5: Solve for x
    x = 1,122,815,686,037,760,512/691,022,496
  6. Step 6: Final answer
    x = 1,624,861,263.62

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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.