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Finding the Third Proportional to 465,918,789 and 741,726,558

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Solution

The third proportional to 465,918,789 and 741,726,558 is: 1,180,802,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,918,789 : 741,726,558 = 741,726,558 : x
  2. Step 2: Convert to fraction form
    465,918,789/741,726,558 = 741,726,558/x
  3. Step 3: Cross multiply
    465,918,789x = 741,726,558 × 741,726,558
  4. Step 4: Simplify right side
    465,918,789x = 550,158,286,842,527,360
  5. Step 5: Solve for x
    x = 550,158,286,842,527,360/465,918,789
  6. Step 6: Final answer
    x = 1,180,802,963.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.