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Finding the Third Proportional to 752,305,766 and 1,161,998,265

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Solution

The third proportional to 752,305,766 and 1,161,998,265 is: 1,794,802,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,305,766 : 1,161,998,265 = 1,161,998,265 : x
  2. Step 2: Convert to fraction form
    752,305,766/1,161,998,265 = 1,161,998,265/x
  3. Step 3: Cross multiply
    752,305,766x = 1,161,998,265 × 1,161,998,265
  4. Step 4: Simplify right side
    752,305,766x = 1,350,239,967,863,010,304
  5. Step 5: Solve for x
    x = 1,350,239,967,863,010,304/752,305,766
  6. Step 6: Final answer
    x = 1,794,802,098.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.