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Finding the Third Proportional to 425,821 and 927,242

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Solution

The third proportional to 425,821 and 927,242 is: 2,019,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,821 : 927,242 = 927,242 : x
  2. Step 2: Convert to fraction form
    425,821/927,242 = 927,242/x
  3. Step 3: Cross multiply
    425,821x = 927,242 × 927,242
  4. Step 4: Simplify right side
    425,821x = 859,777,726,564
  5. Step 5: Solve for x
    x = 859,777,726,564/425,821
  6. Step 6: Final answer
    x = 2,019,105.98

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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.