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Finding the Third Proportional to 2,273,161 and 4,906,869

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Solution

The third proportional to 2,273,161 and 4,906,869 is: 10,592,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,161 : 4,906,869 = 4,906,869 : x
  2. Step 2: Convert to fraction form
    2,273,161/4,906,869 = 4,906,869/x
  3. Step 3: Cross multiply
    2,273,161x = 4,906,869 × 4,906,869
  4. Step 4: Simplify right side
    2,273,161x = 24,077,363,383,161
  5. Step 5: Solve for x
    x = 24,077,363,383,161/2,273,161
  6. Step 6: Final answer
    x = 10,592,018.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.