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Finding the Third Proportional to 2,198,760 and 3,363,534

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Solution

The third proportional to 2,198,760 and 3,363,534 is: 5,145,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,760 : 3,363,534 = 3,363,534 : x
  2. Step 2: Convert to fraction form
    2,198,760/3,363,534 = 3,363,534/x
  3. Step 3: Cross multiply
    2,198,760x = 3,363,534 × 3,363,534
  4. Step 4: Simplify right side
    2,198,760x = 11,313,360,969,156
  5. Step 5: Solve for x
    x = 11,313,360,969,156/2,198,760
  6. Step 6: Final answer
    x = 5,145,336.90

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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.