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Finding the Third Proportional to 419,505,966 and 635,086,575

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Solution

The third proportional to 419,505,966 and 635,086,575 is: 961,452,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,505,966 : 635,086,575 = 635,086,575 : x
  2. Step 2: Convert to fraction form
    419,505,966/635,086,575 = 635,086,575/x
  3. Step 3: Cross multiply
    419,505,966x = 635,086,575 × 635,086,575
  4. Step 4: Simplify right side
    419,505,966x = 403,334,957,745,230,656
  5. Step 5: Solve for x
    x = 403,334,957,745,230,656/419,505,966
  6. Step 6: Final answer
    x = 961,452,256.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.