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Finding the Third Proportional to 419,520,194 and 635,103,544

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Solution

The third proportional to 419,520,194 and 635,103,544 is: 961,471,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,520,194 : 635,103,544 = 635,103,544 : x
  2. Step 2: Convert to fraction form
    419,520,194/635,103,544 = 635,103,544/x
  3. Step 3: Cross multiply
    419,520,194x = 635,103,544 × 635,103,544
  4. Step 4: Simplify right side
    419,520,194x = 403,356,511,601,359,936
  5. Step 5: Solve for x
    x = 403,356,511,601,359,936/419,520,194
  6. Step 6: Final answer
    x = 961,471,026.59

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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.