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Finding the Third Proportional to 577,384,560 and 834,221,160

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Solution

The third proportional to 577,384,560 and 834,221,160 is: 1,205,305,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,384,560 : 834,221,160 = 834,221,160 : x
  2. Step 2: Convert to fraction form
    577,384,560/834,221,160 = 834,221,160/x
  3. Step 3: Cross multiply
    577,384,560x = 834,221,160 × 834,221,160
  4. Step 4: Simplify right side
    577,384,560x = 695,924,943,791,745,536
  5. Step 5: Solve for x
    x = 695,924,943,791,745,536/577,384,560
  6. Step 6: Final answer
    x = 1,205,305,773.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.