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Finding the Third Proportional to 421,251 and 927,894

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Solution

The third proportional to 421,251 and 927,894 is: 2,043,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,251 : 927,894 = 927,894 : x
  2. Step 2: Convert to fraction form
    421,251/927,894 = 927,894/x
  3. Step 3: Cross multiply
    421,251x = 927,894 × 927,894
  4. Step 4: Simplify right side
    421,251x = 860,987,275,236
  5. Step 5: Solve for x
    x = 860,987,275,236/421,251
  6. Step 6: Final answer
    x = 2,043,881.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.