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Finding the Third Proportional to 600,048 and 843,936

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Solution

The third proportional to 600,048 and 843,936 is: 1,186,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,048 : 843,936 = 843,936 : x
  2. Step 2: Convert to fraction form
    600,048/843,936 = 843,936/x
  3. Step 3: Cross multiply
    600,048x = 843,936 × 843,936
  4. Step 4: Simplify right side
    600,048x = 712,227,972,096
  5. Step 5: Solve for x
    x = 712,227,972,096/600,048
  6. Step 6: Final answer
    x = 1,186,951.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.