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Finding the Third Proportional to 654,356 and 927,934

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Solution

The third proportional to 654,356 and 927,934 is: 1,315,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,356 : 927,934 = 927,934 : x
  2. Step 2: Convert to fraction form
    654,356/927,934 = 927,934/x
  3. Step 3: Cross multiply
    654,356x = 927,934 × 927,934
  4. Step 4: Simplify right side
    654,356x = 861,061,508,356
  5. Step 5: Solve for x
    x = 861,061,508,356/654,356
  6. Step 6: Final answer
    x = 1,315,891.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.