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Finding the Third Proportional to 512,843.91 and 1,115,992.69

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Solution

The third proportional to 512,843.91 and 1,115,992.69 is: 2,428,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,843.91 : 1,115,992.69 = 1,115,992.69 : x
  2. Step 2: Convert to fraction form
    512,843.91/1,115,992.69 = 1,115,992.69/x
  3. Step 3: Cross multiply
    512,843.91x = 1,115,992.69 × 1,115,992.69
  4. Step 4: Simplify right side
    512,843.91x = 1,245,439,678,553.47
  5. Step 5: Solve for x
    x = 1,245,439,678,553.47/512,843.91
  6. Step 6: Final answer
    x = 2,428,496.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.