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Finding the Third Proportional to 2,198,785 and 3,363,566

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Solution

The third proportional to 2,198,785 and 3,363,566 is: 5,145,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,785 : 3,363,566 = 3,363,566 : x
  2. Step 2: Convert to fraction form
    2,198,785/3,363,566 = 3,363,566/x
  3. Step 3: Cross multiply
    2,198,785x = 3,363,566 × 3,363,566
  4. Step 4: Simplify right side
    2,198,785x = 11,313,576,236,356
  5. Step 5: Solve for x
    x = 11,313,576,236,356/2,198,785
  6. Step 6: Final answer
    x = 5,145,376.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.