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Finding the Third Proportional to 539,374,228 and 807,585,120

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Solution

The third proportional to 539,374,228 and 807,585,120 is: 1,209,167,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,374,228 : 807,585,120 = 807,585,120 : x
  2. Step 2: Convert to fraction form
    539,374,228/807,585,120 = 807,585,120/x
  3. Step 3: Cross multiply
    539,374,228x = 807,585,120 × 807,585,120
  4. Step 4: Simplify right side
    539,374,228x = 652,193,726,045,414,400
  5. Step 5: Solve for x
    x = 652,193,726,045,414,400/539,374,228
  6. Step 6: Final answer
    x = 1,209,167,387.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.