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Finding the Third Proportional to 416,266 and 902,517

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Solution

The third proportional to 416,266 and 902,517 is: 1,956,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,266 : 902,517 = 902,517 : x
  2. Step 2: Convert to fraction form
    416,266/902,517 = 902,517/x
  3. Step 3: Cross multiply
    416,266x = 902,517 × 902,517
  4. Step 4: Simplify right side
    416,266x = 814,536,935,289
  5. Step 5: Solve for x
    x = 814,536,935,289/416,266
  6. Step 6: Final answer
    x = 1,956,770.27

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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.