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Finding the Third Proportional to 2,426,227 and 5,193,269

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Solution

The third proportional to 2,426,227 and 5,193,269 is: 11,116,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426,227 : 5,193,269 = 5,193,269 : x
  2. Step 2: Convert to fraction form
    2,426,227/5,193,269 = 5,193,269/x
  3. Step 3: Cross multiply
    2,426,227x = 5,193,269 × 5,193,269
  4. Step 4: Simplify right side
    2,426,227x = 26,970,042,906,361
  5. Step 5: Solve for x
    x = 26,970,042,906,361/2,426,227
  6. Step 6: Final answer
    x = 11,116,042.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.