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Finding the Third Proportional to 416,854,620 and 613,156,824

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Solution

The third proportional to 416,854,620 and 613,156,824 is: 901,900,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,854,620 : 613,156,824 = 613,156,824 : x
  2. Step 2: Convert to fraction form
    416,854,620/613,156,824 = 613,156,824/x
  3. Step 3: Cross multiply
    416,854,620x = 613,156,824 × 613,156,824
  4. Step 4: Simplify right side
    416,854,620x = 375,961,290,817,766,976
  5. Step 5: Solve for x
    x = 375,961,290,817,766,976/416,854,620
  6. Step 6: Final answer
    x = 901,900,261.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.