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Finding the Third Proportional to 468,951.75 and 954,478.13

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Solution

The third proportional to 468,951.75 and 954,478.13 is: 1,942,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,951.75 : 954,478.13 = 954,478.13 : x
  2. Step 2: Convert to fraction form
    468,951.75/954,478.13 = 954,478.13/x
  3. Step 3: Cross multiply
    468,951.75x = 954,478.13 × 954,478.13
  4. Step 4: Simplify right side
    468,951.75x = 911,028,491,103.52
  5. Step 5: Solve for x
    x = 911,028,491,103.52/468,951.75
  6. Step 6: Final answer
    x = 1,942,691.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.