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Finding the Third Proportional to 382,722 and 838,404

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Solution

The third proportional to 382,722 and 838,404 is: 1,836,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,722 : 838,404 = 838,404 : x
  2. Step 2: Convert to fraction form
    382,722/838,404 = 838,404/x
  3. Step 3: Cross multiply
    382,722x = 838,404 × 838,404
  4. Step 4: Simplify right side
    382,722x = 702,921,267,216
  5. Step 5: Solve for x
    x = 702,921,267,216/382,722
  6. Step 6: Final answer
    x = 1,836,636.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.