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Finding the Third Proportional to 541,221 and 1,175,997.75

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Solution

The third proportional to 541,221 and 1,175,997.75 is: 2,555,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,221 : 1,175,997.75 = 1,175,997.75 : x
  2. Step 2: Convert to fraction form
    541,221/1,175,997.75 = 1,175,997.75/x
  3. Step 3: Cross multiply
    541,221x = 1,175,997.75 × 1,175,997.75
  4. Step 4: Simplify right side
    541,221x = 1,382,970,708,005.06
  5. Step 5: Solve for x
    x = 1,382,970,708,005.06/541,221
  6. Step 6: Final answer
    x = 2,555,279.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.