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Finding the Third Proportional to 437,474 and 950,836

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Solution

The third proportional to 437,474 and 950,836 is: 2,066,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,474 : 950,836 = 950,836 : x
  2. Step 2: Convert to fraction form
    437,474/950,836 = 950,836/x
  3. Step 3: Cross multiply
    437,474x = 950,836 × 950,836
  4. Step 4: Simplify right side
    437,474x = 904,089,098,896
  5. Step 5: Solve for x
    x = 904,089,098,896/437,474
  6. Step 6: Final answer
    x = 2,066,612.18

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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.