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Finding the Third Proportional to 638,208 and 1,382,080

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Solution

The third proportional to 638,208 and 1,382,080 is: 2,992,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,208 : 1,382,080 = 1,382,080 : x
  2. Step 2: Convert to fraction form
    638,208/1,382,080 = 1,382,080/x
  3. Step 3: Cross multiply
    638,208x = 1,382,080 × 1,382,080
  4. Step 4: Simplify right side
    638,208x = 1,910,145,126,400
  5. Step 5: Solve for x
    x = 1,910,145,126,400/638,208
  6. Step 6: Final answer
    x = 2,992,982.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.