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Finding the Third Proportional to 2,379,923 and 5,232,237

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Solution

The third proportional to 2,379,923 and 5,232,237 is: 11,503,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379,923 : 5,232,237 = 5,232,237 : x
  2. Step 2: Convert to fraction form
    2,379,923/5,232,237 = 5,232,237/x
  3. Step 3: Cross multiply
    2,379,923x = 5,232,237 × 5,232,237
  4. Step 4: Simplify right side
    2,379,923x = 27,376,304,024,169
  5. Step 5: Solve for x
    x = 27,376,304,024,169/2,379,923
  6. Step 6: Final answer
    x = 11,503,020.91

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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.