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Finding the Third Proportional to 588,834 and 933,936

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Solution

The third proportional to 588,834 and 933,936 is: 1,481,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,834 : 933,936 = 933,936 : x
  2. Step 2: Convert to fraction form
    588,834/933,936 = 933,936/x
  3. Step 3: Cross multiply
    588,834x = 933,936 × 933,936
  4. Step 4: Simplify right side
    588,834x = 872,236,452,096
  5. Step 5: Solve for x
    x = 872,236,452,096/588,834
  6. Step 6: Final answer
    x = 1,481,294.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.