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Finding the Third Proportional to 635,067 and 1,369,845

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Solution

The third proportional to 635,067 and 1,369,845 is: 2,954,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,067 : 1,369,845 = 1,369,845 : x
  2. Step 2: Convert to fraction form
    635,067/1,369,845 = 1,369,845/x
  3. Step 3: Cross multiply
    635,067x = 1,369,845 × 1,369,845
  4. Step 4: Simplify right side
    635,067x = 1,876,475,324,025
  5. Step 5: Solve for x
    x = 1,876,475,324,025/635,067
  6. Step 6: Final answer
    x = 2,954,767.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.