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Finding the Third Proportional to 850,401 and 1,279,449

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Solution

The third proportional to 850,401 and 1,279,449 is: 1,924,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,401 : 1,279,449 = 1,279,449 : x
  2. Step 2: Convert to fraction form
    850,401/1,279,449 = 1,279,449/x
  3. Step 3: Cross multiply
    850,401x = 1,279,449 × 1,279,449
  4. Step 4: Simplify right side
    850,401x = 1,636,989,743,601
  5. Step 5: Solve for x
    x = 1,636,989,743,601/850,401
  6. Step 6: Final answer
    x = 1,924,962.16

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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.