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Finding the Third Proportional to 461,551.50 and 969,752.25

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Solution

The third proportional to 461,551.50 and 969,752.25 is: 2,037,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,551.50 : 969,752.25 = 969,752.25 : x
  2. Step 2: Convert to fraction form
    461,551.50/969,752.25 = 969,752.25/x
  3. Step 3: Cross multiply
    461,551.50x = 969,752.25 × 969,752.25
  4. Step 4: Simplify right side
    461,551.50x = 940,419,426,380.06
  5. Step 5: Solve for x
    x = 940,419,426,380.06/461,551.50
  6. Step 6: Final answer
    x = 2,037,517.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.