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Finding the Third Proportional to 427,891 and 927,132

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Solution

The third proportional to 427,891 and 927,132 is: 2,008,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,891 : 927,132 = 927,132 : x
  2. Step 2: Convert to fraction form
    427,891/927,132 = 927,132/x
  3. Step 3: Cross multiply
    427,891x = 927,132 × 927,132
  4. Step 4: Simplify right side
    427,891x = 859,573,745,424
  5. Step 5: Solve for x
    x = 859,573,745,424/427,891
  6. Step 6: Final answer
    x = 2,008,861.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.