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Finding the Third Proportional to 2,379,919 and 5,232,231

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Solution

The third proportional to 2,379,919 and 5,232,231 is: 11,503,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379,919 : 5,232,231 = 5,232,231 : x
  2. Step 2: Convert to fraction form
    2,379,919/5,232,231 = 5,232,231/x
  3. Step 3: Cross multiply
    2,379,919x = 5,232,231 × 5,232,231
  4. Step 4: Simplify right side
    2,379,919x = 27,376,241,237,361
  5. Step 5: Solve for x
    x = 27,376,241,237,361/2,379,919
  6. Step 6: Final answer
    x = 11,503,013.86

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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.