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Finding the Third Proportional to 382,608,104 and 609,098,604

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Solution

The third proportional to 382,608,104 and 609,098,604 is: 969,663,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,608,104 : 609,098,604 = 609,098,604 : x
  2. Step 2: Convert to fraction form
    382,608,104/609,098,604 = 609,098,604/x
  3. Step 3: Cross multiply
    382,608,104x = 609,098,604 × 609,098,604
  4. Step 4: Simplify right side
    382,608,104x = 371,001,109,394,748,800
  5. Step 5: Solve for x
    x = 371,001,109,394,748,800/382,608,104
  6. Step 6: Final answer
    x = 969,663,489.92

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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.