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Finding the Third Proportional to 2,380,041 and 5,232,474

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Solution

The third proportional to 2,380,041 and 5,232,474 is: 11,503,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,041 : 5,232,474 = 5,232,474 : x
  2. Step 2: Convert to fraction form
    2,380,041/5,232,474 = 5,232,474/x
  3. Step 3: Cross multiply
    2,380,041x = 5,232,474 × 5,232,474
  4. Step 4: Simplify right side
    2,380,041x = 27,378,784,160,676
  5. Step 5: Solve for x
    x = 27,378,784,160,676/2,380,041
  6. Step 6: Final answer
    x = 11,503,492.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.