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Finding the Third Proportional to 2,414,589.75 and 5,248,512

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Solution

The third proportional to 2,414,589.75 and 5,248,512 is: 11,408,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,589.75 : 5,248,512 = 5,248,512 : x
  2. Step 2: Convert to fraction form
    2,414,589.75/5,248,512 = 5,248,512/x
  3. Step 3: Cross multiply
    2,414,589.75x = 5,248,512 × 5,248,512
  4. Step 4: Simplify right side
    2,414,589.75x = 27,546,878,214,144
  5. Step 5: Solve for x
    x = 27,546,878,214,144/2,414,589.75
  6. Step 6: Final answer
    x = 11,408,512.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.