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Finding the Third Proportional to 546,581.25 and 1,200,772.13

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Solution

The third proportional to 546,581.25 and 1,200,772.13 is: 2,637,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,581.25 : 1,200,772.13 = 1,200,772.13 : x
  2. Step 2: Convert to fraction form
    546,581.25/1,200,772.13 = 1,200,772.13/x
  3. Step 3: Cross multiply
    546,581.25x = 1,200,772.13 × 1,200,772.13
  4. Step 4: Simplify right side
    546,581.25x = 1,441,853,696,177.02
  5. Step 5: Solve for x
    x = 1,441,853,696,177.02/546,581.25
  6. Step 6: Final answer
    x = 2,637,949.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.