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Finding the Third Proportional to 2,006,404 and 4,082,607

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Solution

The third proportional to 2,006,404 and 4,082,607 is: 8,307,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,404 : 4,082,607 = 4,082,607 : x
  2. Step 2: Convert to fraction form
    2,006,404/4,082,607 = 4,082,607/x
  3. Step 3: Cross multiply
    2,006,404x = 4,082,607 × 4,082,607
  4. Step 4: Simplify right side
    2,006,404x = 16,667,679,916,449
  5. Step 5: Solve for x
    x = 16,667,679,916,449/2,006,404
  6. Step 6: Final answer
    x = 8,307,240.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.