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Finding the Third Proportional to 1,204,204 and 1,640,215

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Solution

The third proportional to 1,204,204 and 1,640,215 is: 2,234,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,204 : 1,640,215 = 1,640,215 : x
  2. Step 2: Convert to fraction form
    1,204,204/1,640,215 = 1,640,215/x
  3. Step 3: Cross multiply
    1,204,204x = 1,640,215 × 1,640,215
  4. Step 4: Simplify right side
    1,204,204x = 2,690,305,246,225
  5. Step 5: Solve for x
    x = 2,690,305,246,225/1,204,204
  6. Step 6: Final answer
    x = 2,234,094.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.