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Finding the Third Proportional to 416,267 and 902,519

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Solution

The third proportional to 416,267 and 902,519 is: 1,956,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,267 : 902,519 = 902,519 : x
  2. Step 2: Convert to fraction form
    416,267/902,519 = 902,519/x
  3. Step 3: Cross multiply
    416,267x = 902,519 × 902,519
  4. Step 4: Simplify right side
    416,267x = 814,540,545,361
  5. Step 5: Solve for x
    x = 814,540,545,361/416,267
  6. Step 6: Final answer
    x = 1,956,774.25

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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.