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Finding the Third Proportional to 426,819.38 and 892,842.75

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Solution

The third proportional to 426,819.38 and 892,842.75 is: 1,867,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,819.38 : 892,842.75 = 892,842.75 : x
  2. Step 2: Convert to fraction form
    426,819.38/892,842.75 = 892,842.75/x
  3. Step 3: Cross multiply
    426,819.38x = 892,842.75 × 892,842.75
  4. Step 4: Simplify right side
    426,819.38x = 797,168,176,227.56
  5. Step 5: Solve for x
    x = 797,168,176,227.56/426,819.38
  6. Step 6: Final answer
    x = 1,867,694.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.