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Finding the Third Proportional to 1,682,901 and 3,702,249

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Solution

The third proportional to 1,682,901 and 3,702,249 is: 8,144,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,901 : 3,702,249 = 3,702,249 : x
  2. Step 2: Convert to fraction form
    1,682,901/3,702,249 = 3,702,249/x
  3. Step 3: Cross multiply
    1,682,901x = 3,702,249 × 3,702,249
  4. Step 4: Simplify right side
    1,682,901x = 13,706,647,658,001
  5. Step 5: Solve for x
    x = 13,706,647,658,001/1,682,901
  6. Step 6: Final answer
    x = 8,144,654.77

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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.