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Finding the Third Proportional to 425,819 and 927,238

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Solution

The third proportional to 425,819 and 927,238 is: 2,019,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,819 : 927,238 = 927,238 : x
  2. Step 2: Convert to fraction form
    425,819/927,238 = 927,238/x
  3. Step 3: Cross multiply
    425,819x = 927,238 × 927,238
  4. Step 4: Simplify right side
    425,819x = 859,770,308,644
  5. Step 5: Solve for x
    x = 859,770,308,644/425,819
  6. Step 6: Final answer
    x = 2,019,098.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.