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Finding the Third Proportional to 802,204 and 1,203,479

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Solution

The third proportional to 802,204 and 1,203,479 is: 1,805,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,204 : 1,203,479 = 1,203,479 : x
  2. Step 2: Convert to fraction form
    802,204/1,203,479 = 1,203,479/x
  3. Step 3: Cross multiply
    802,204x = 1,203,479 × 1,203,479
  4. Step 4: Simplify right side
    802,204x = 1,448,361,703,441
  5. Step 5: Solve for x
    x = 1,448,361,703,441/802,204
  6. Step 6: Final answer
    x = 1,805,478.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.