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Finding the Third Proportional to 828,761.25 and 1,246,227

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Solution

The third proportional to 828,761.25 and 1,246,227 is: 1,873,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,761.25 : 1,246,227 = 1,246,227 : x
  2. Step 2: Convert to fraction form
    828,761.25/1,246,227 = 1,246,227/x
  3. Step 3: Cross multiply
    828,761.25x = 1,246,227 × 1,246,227
  4. Step 4: Simplify right side
    828,761.25x = 1,553,081,735,529
  5. Step 5: Solve for x
    x = 1,553,081,735,529/828,761.25
  6. Step 6: Final answer
    x = 1,873,979.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.