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Finding the Third Proportional to 465,581,686 and 647,354,192

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Solution

The third proportional to 465,581,686 and 647,354,192 is: 900,094,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,581,686 : 647,354,192 = 647,354,192 : x
  2. Step 2: Convert to fraction form
    465,581,686/647,354,192 = 647,354,192/x
  3. Step 3: Cross multiply
    465,581,686x = 647,354,192 × 647,354,192
  4. Step 4: Simplify right side
    465,581,686x = 419,067,449,899,972,864
  5. Step 5: Solve for x
    x = 419,067,449,899,972,864/465,581,686
  6. Step 6: Final answer
    x = 900,094,360.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.