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Finding the Third Proportional to 454,126 and 996,817

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Solution

The third proportional to 454,126 and 996,817 is: 2,188,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,126 : 996,817 = 996,817 : x
  2. Step 2: Convert to fraction form
    454,126/996,817 = 996,817/x
  3. Step 3: Cross multiply
    454,126x = 996,817 × 996,817
  4. Step 4: Simplify right side
    454,126x = 993,644,131,489
  5. Step 5: Solve for x
    x = 993,644,131,489/454,126
  6. Step 6: Final answer
    x = 2,188,036.21

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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.