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Finding the Third Proportional to 757,212,648 and 1,132,792,029

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Solution

The third proportional to 757,212,648 and 1,132,792,029 is: 1,694,659,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,212,648 : 1,132,792,029 = 1,132,792,029 : x
  2. Step 2: Convert to fraction form
    757,212,648/1,132,792,029 = 1,132,792,029/x
  3. Step 3: Cross multiply
    757,212,648x = 1,132,792,029 × 1,132,792,029
  4. Step 4: Simplify right side
    757,212,648x = 1,283,217,780,965,936,896
  5. Step 5: Solve for x
    x = 1,283,217,780,965,936,896/757,212,648
  6. Step 6: Final answer
    x = 1,694,659,729.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.