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Finding the Third Proportional to 1,682,256 and 3,690,204

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Solution

The third proportional to 1,682,256 and 3,690,204 is: 8,094,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,256 : 3,690,204 = 3,690,204 : x
  2. Step 2: Convert to fraction form
    1,682,256/3,690,204 = 3,690,204/x
  3. Step 3: Cross multiply
    1,682,256x = 3,690,204 × 3,690,204
  4. Step 4: Simplify right side
    1,682,256x = 13,617,605,561,616
  5. Step 5: Solve for x
    x = 13,617,605,561,616/1,682,256
  6. Step 6: Final answer
    x = 8,094,847.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.