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Finding the Third Proportional to 2,198,758 and 3,363,530

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Solution

The third proportional to 2,198,758 and 3,363,530 is: 5,145,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,758 : 3,363,530 = 3,363,530 : x
  2. Step 2: Convert to fraction form
    2,198,758/3,363,530 = 3,363,530/x
  3. Step 3: Cross multiply
    2,198,758x = 3,363,530 × 3,363,530
  4. Step 4: Simplify right side
    2,198,758x = 11,313,334,060,900
  5. Step 5: Solve for x
    x = 11,313,334,060,900/2,198,758
  6. Step 6: Final answer
    x = 5,145,329.35

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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.