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Finding the Third Proportional to 436,256 and 922,812

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Solution

The third proportional to 436,256 and 922,812 is: 1,952,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,256 : 922,812 = 922,812 : x
  2. Step 2: Convert to fraction form
    436,256/922,812 = 922,812/x
  3. Step 3: Cross multiply
    436,256x = 922,812 × 922,812
  4. Step 4: Simplify right side
    436,256x = 851,581,987,344
  5. Step 5: Solve for x
    x = 851,581,987,344/436,256
  6. Step 6: Final answer
    x = 1,952,023.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.