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Finding the Third Proportional to 489,740,096 and 748,853,573

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Solution

The third proportional to 489,740,096 and 748,853,573 is: 1,145,059,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,740,096 : 748,853,573 = 748,853,573 : x
  2. Step 2: Convert to fraction form
    489,740,096/748,853,573 = 748,853,573/x
  3. Step 3: Cross multiply
    489,740,096x = 748,853,573 × 748,853,573
  4. Step 4: Simplify right side
    489,740,096x = 560,781,673,794,866,304
  5. Step 5: Solve for x
    x = 560,781,673,794,866,304/489,740,096
  6. Step 6: Final answer
    x = 1,145,059,753.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.