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Finding the Third Proportional to 424,558 and 927,847

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Solution

The third proportional to 424,558 and 927,847 is: 2,027,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,558 : 927,847 = 927,847 : x
  2. Step 2: Convert to fraction form
    424,558/927,847 = 927,847/x
  3. Step 3: Cross multiply
    424,558x = 927,847 × 927,847
  4. Step 4: Simplify right side
    424,558x = 860,900,055,409
  5. Step 5: Solve for x
    x = 860,900,055,409/424,558
  6. Step 6: Final answer
    x = 2,027,756.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.