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Finding the Third Proportional to 1,682,885 and 3,702,217

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Solution

The third proportional to 1,682,885 and 3,702,217 is: 8,144,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,885 : 3,702,217 = 3,702,217 : x
  2. Step 2: Convert to fraction form
    1,682,885/3,702,217 = 3,702,217/x
  3. Step 3: Cross multiply
    1,682,885x = 3,702,217 × 3,702,217
  4. Step 4: Simplify right side
    1,682,885x = 13,706,410,715,089
  5. Step 5: Solve for x
    x = 13,706,410,715,089/1,682,885
  6. Step 6: Final answer
    x = 8,144,591.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.