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Finding the Third Proportional to 427,933 and 916,589

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Solution

The third proportional to 427,933 and 916,589 is: 1,963,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,933 : 916,589 = 916,589 : x
  2. Step 2: Convert to fraction form
    427,933/916,589 = 916,589/x
  3. Step 3: Cross multiply
    427,933x = 916,589 × 916,589
  4. Step 4: Simplify right side
    427,933x = 840,135,394,921
  5. Step 5: Solve for x
    x = 840,135,394,921/427,933
  6. Step 6: Final answer
    x = 1,963,240.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.