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Finding the Third Proportional to 599,949 and 843,898

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Solution

The third proportional to 599,949 and 843,898 is: 1,187,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,949 : 843,898 = 843,898 : x
  2. Step 2: Convert to fraction form
    599,949/843,898 = 843,898/x
  3. Step 3: Cross multiply
    599,949x = 843,898 × 843,898
  4. Step 4: Simplify right side
    599,949x = 712,163,834,404
  5. Step 5: Solve for x
    x = 712,163,834,404/599,949
  6. Step 6: Final answer
    x = 1,187,040.62

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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.