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Finding the Third Proportional to 1,082,025 and 1,682,103.38

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Solution

The third proportional to 1,082,025 and 1,682,103.38 is: 2,614,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,025 : 1,682,103.38 = 1,682,103.38 : x
  2. Step 2: Convert to fraction form
    1,082,025/1,682,103.38 = 1,682,103.38/x
  3. Step 3: Cross multiply
    1,082,025x = 1,682,103.38 × 1,682,103.38
  4. Step 4: Simplify right side
    1,082,025x = 2,829,471,764,186.39
  5. Step 5: Solve for x
    x = 2,829,471,764,186.39/1,082,025
  6. Step 6: Final answer
    x = 2,614,978.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.