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Finding the Third Proportional to 382,608,096 and 609,098,592

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Solution

The third proportional to 382,608,096 and 609,098,592 is: 969,663,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,608,096 : 609,098,592 = 609,098,592 : x
  2. Step 2: Convert to fraction form
    382,608,096/609,098,592 = 609,098,592/x
  3. Step 3: Cross multiply
    382,608,096x = 609,098,592 × 609,098,592
  4. Step 4: Simplify right side
    382,608,096x = 371,001,094,776,382,464
  5. Step 5: Solve for x
    x = 371,001,094,776,382,464/382,608,096
  6. Step 6: Final answer
    x = 969,663,471.98

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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.