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Finding the Third Proportional to 824,383.50 and 1,737,327

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Solution

The third proportional to 824,383.50 and 1,737,327 is: 3,661,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,383.50 : 1,737,327 = 1,737,327 : x
  2. Step 2: Convert to fraction form
    824,383.50/1,737,327 = 1,737,327/x
  3. Step 3: Cross multiply
    824,383.50x = 1,737,327 × 1,737,327
  4. Step 4: Simplify right side
    824,383.50x = 3,018,305,104,929
  5. Step 5: Solve for x
    x = 3,018,305,104,929/824,383.50
  6. Step 6: Final answer
    x = 3,661,287.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.