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Finding the Third Proportional to 568,761.75 and 1,221,175.13

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Solution

The third proportional to 568,761.75 and 1,221,175.13 is: 2,621,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,761.75 : 1,221,175.13 = 1,221,175.13 : x
  2. Step 2: Convert to fraction form
    568,761.75/1,221,175.13 = 1,221,175.13/x
  3. Step 3: Cross multiply
    568,761.75x = 1,221,175.13 × 1,221,175.13
  4. Step 4: Simplify right side
    568,761.75x = 1,491,268,685,918.77
  5. Step 5: Solve for x
    x = 1,491,268,685,918.77/568,761.75
  6. Step 6: Final answer
    x = 2,621,956.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.