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Finding the Third Proportional to 2,682,338 and 5,748,193

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Solution

The third proportional to 2,682,338 and 5,748,193 is: 12,318,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,338 : 5,748,193 = 5,748,193 : x
  2. Step 2: Convert to fraction form
    2,682,338/5,748,193 = 5,748,193/x
  3. Step 3: Cross multiply
    2,682,338x = 5,748,193 × 5,748,193
  4. Step 4: Simplify right side
    2,682,338x = 33,041,722,765,249
  5. Step 5: Solve for x
    x = 33,041,722,765,249/2,682,338
  6. Step 6: Final answer
    x = 12,318,254.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.