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Finding the Third Proportional to 560,864.25 and 1,216,863

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Solution

The third proportional to 560,864.25 and 1,216,863 is: 2,640,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,864.25 : 1,216,863 = 1,216,863 : x
  2. Step 2: Convert to fraction form
    560,864.25/1,216,863 = 1,216,863/x
  3. Step 3: Cross multiply
    560,864.25x = 1,216,863 × 1,216,863
  4. Step 4: Simplify right side
    560,864.25x = 1,480,755,560,769
  5. Step 5: Solve for x
    x = 1,480,755,560,769/560,864.25
  6. Step 6: Final answer
    x = 2,640,131.83

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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.