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Finding the Third Proportional to 752,305,848 and 1,161,998,388

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Solution

The third proportional to 752,305,848 and 1,161,998,388 is: 1,794,802,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,305,848 : 1,161,998,388 = 1,161,998,388 : x
  2. Step 2: Convert to fraction form
    752,305,848/1,161,998,388 = 1,161,998,388/x
  3. Step 3: Cross multiply
    752,305,848x = 1,161,998,388 × 1,161,998,388
  4. Step 4: Simplify right side
    752,305,848x = 1,350,240,253,714,598,656
  5. Step 5: Solve for x
    x = 1,350,240,253,714,598,656/752,305,848
  6. Step 6: Final answer
    x = 1,794,802,283.28

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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.