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Finding the Third Proportional to 413,400 and 885,849

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Solution

The third proportional to 413,400 and 885,849 is: 1,898,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,400 : 885,849 = 885,849 : x
  2. Step 2: Convert to fraction form
    413,400/885,849 = 885,849/x
  3. Step 3: Cross multiply
    413,400x = 885,849 × 885,849
  4. Step 4: Simplify right side
    413,400x = 784,728,450,801
  5. Step 5: Solve for x
    x = 784,728,450,801/413,400
  6. Step 6: Final answer
    x = 1,898,230.41

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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.