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Finding the Third Proportional to 451,873,264 and 698,258,769

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Solution

The third proportional to 451,873,264 and 698,258,769 is: 1,078,986,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,873,264 : 698,258,769 = 698,258,769 : x
  2. Step 2: Convert to fraction form
    451,873,264/698,258,769 = 698,258,769/x
  3. Step 3: Cross multiply
    451,873,264x = 698,258,769 × 698,258,769
  4. Step 4: Simplify right side
    451,873,264x = 487,565,308,485,395,392
  5. Step 5: Solve for x
    x = 487,565,308,485,395,392/451,873,264
  6. Step 6: Final answer
    x = 1,078,986,847.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.