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Finding the Third Proportional to 1,682,478 and 3,669,471

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Solution

The third proportional to 1,682,478 and 3,669,471 is: 8,003,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,478 : 3,669,471 = 3,669,471 : x
  2. Step 2: Convert to fraction form
    1,682,478/3,669,471 = 3,669,471/x
  3. Step 3: Cross multiply
    1,682,478x = 3,669,471 × 3,669,471
  4. Step 4: Simplify right side
    1,682,478x = 13,465,017,419,841
  5. Step 5: Solve for x
    x = 13,465,017,419,841/1,682,478
  6. Step 6: Final answer
    x = 8,003,086.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.