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Finding the Third Proportional to 728,123,425 and 1,604,661,592

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Solution

The third proportional to 728,123,425 and 1,604,661,592 is: 3,536,404,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,123,425 : 1,604,661,592 = 1,604,661,592 : x
  2. Step 2: Convert to fraction form
    728,123,425/1,604,661,592 = 1,604,661,592/x
  3. Step 3: Cross multiply
    728,123,425x = 1,604,661,592 × 1,604,661,592
  4. Step 4: Simplify right side
    728,123,425x = 2,574,938,824,839,974,400
  5. Step 5: Solve for x
    x = 2,574,938,824,839,974,400/728,123,425
  6. Step 6: Final answer
    x = 3,536,404,318.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.