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Finding the Third Proportional to 412,986.38 and 914,410.13

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Solution

The third proportional to 412,986.38 and 914,410.13 is: 2,024,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,986.38 : 914,410.13 = 914,410.13 : x
  2. Step 2: Convert to fraction form
    412,986.38/914,410.13 = 914,410.13/x
  3. Step 3: Cross multiply
    412,986.38x = 914,410.13 × 914,410.13
  4. Step 4: Simplify right side
    412,986.38x = 836,145,876,702.52
  5. Step 5: Solve for x
    x = 836,145,876,702.52/412,986.38
  6. Step 6: Final answer
    x = 2,024,633.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.