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Finding the Third Proportional to 437,822 and 950,372

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Solution

The third proportional to 437,822 and 950,372 is: 2,062,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,822 : 950,372 = 950,372 : x
  2. Step 2: Convert to fraction form
    437,822/950,372 = 950,372/x
  3. Step 3: Cross multiply
    437,822x = 950,372 × 950,372
  4. Step 4: Simplify right side
    437,822x = 903,206,938,384
  5. Step 5: Solve for x
    x = 903,206,938,384/437,822
  6. Step 6: Final answer
    x = 2,062,954.67

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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.