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Finding the Third Proportional to 767,587,403.25 and 1,122,594,666.75

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Solution

The third proportional to 767,587,403.25 and 1,122,594,666.75 is: 1,641,791,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,587,403.25 : 1,122,594,666.75 = 1,122,594,666.75 : x
  2. Step 2: Convert to fraction form
    767,587,403.25/1,122,594,666.75 = 1,122,594,666.75/x
  3. Step 3: Cross multiply
    767,587,403.25x = 1,122,594,666.75 × 1,122,594,666.75
  4. Step 4: Simplify right side
    767,587,403.25x = 1,260,218,785,815,543,552
  5. Step 5: Solve for x
    x = 1,260,218,785,815,543,552/767,587,403.25
  6. Step 6: Final answer
    x = 1,641,791,906.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.