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Finding the Third Proportional to 752,305,828 and 1,161,998,358

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Solution

The third proportional to 752,305,828 and 1,161,998,358 is: 1,794,802,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,305,828 : 1,161,998,358 = 1,161,998,358 : x
  2. Step 2: Convert to fraction form
    752,305,828/1,161,998,358 = 1,161,998,358/x
  3. Step 3: Cross multiply
    752,305,828x = 1,161,998,358 × 1,161,998,358
  4. Step 4: Simplify right side
    752,305,828x = 1,350,240,183,994,696,192
  5. Step 5: Solve for x
    x = 1,350,240,183,994,696,192/752,305,828
  6. Step 6: Final answer
    x = 1,794,802,238.32

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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.