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Finding the Third Proportional to 814,529 and 1,789,645

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Solution

The third proportional to 814,529 and 1,789,645 is: 3,932,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,529 : 1,789,645 = 1,789,645 : x
  2. Step 2: Convert to fraction form
    814,529/1,789,645 = 1,789,645/x
  3. Step 3: Cross multiply
    814,529x = 1,789,645 × 1,789,645
  4. Step 4: Simplify right side
    814,529x = 3,202,829,226,025
  5. Step 5: Solve for x
    x = 3,202,829,226,025/814,529
  6. Step 6: Final answer
    x = 3,932,124.24

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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.