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Finding the Third Proportional to 2,327,256 and 4,936,224

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Solution

The third proportional to 2,327,256 and 4,936,224 is: 10,469,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327,256 : 4,936,224 = 4,936,224 : x
  2. Step 2: Convert to fraction form
    2,327,256/4,936,224 = 4,936,224/x
  3. Step 3: Cross multiply
    2,327,256x = 4,936,224 × 4,936,224
  4. Step 4: Simplify right side
    2,327,256x = 24,366,307,378,176
  5. Step 5: Solve for x
    x = 24,366,307,378,176/2,327,256
  6. Step 6: Final answer
    x = 10,469,972.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.