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Finding the Third Proportional to 2,198,248 and 4,783,592

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Solution

The third proportional to 2,198,248 and 4,783,592 is: 10,409,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,248 : 4,783,592 = 4,783,592 : x
  2. Step 2: Convert to fraction form
    2,198,248/4,783,592 = 4,783,592/x
  3. Step 3: Cross multiply
    2,198,248x = 4,783,592 × 4,783,592
  4. Step 4: Simplify right side
    2,198,248x = 22,882,752,422,464
  5. Step 5: Solve for x
    x = 22,882,752,422,464/2,198,248
  6. Step 6: Final answer
    x = 10,409,540.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.