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Finding the Third Proportional to 564,800.91 and 1,221,375.66

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Solution

The third proportional to 564,800.91 and 1,221,375.66 is: 2,641,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,800.91 : 1,221,375.66 = 1,221,375.66 : x
  2. Step 2: Convert to fraction form
    564,800.91/1,221,375.66 = 1,221,375.66/x
  3. Step 3: Cross multiply
    564,800.91x = 1,221,375.66 × 1,221,375.66
  4. Step 4: Simplify right side
    564,800.91x = 1,491,758,493,680.12
  5. Step 5: Solve for x
    x = 1,491,758,493,680.12/564,800.91
  6. Step 6: Final answer
    x = 2,641,211.23

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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.