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Finding the Third Proportional to 599,933 and 843,766

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Solution

The third proportional to 599,933 and 843,766 is: 1,186,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,933 : 843,766 = 843,766 : x
  2. Step 2: Convert to fraction form
    599,933/843,766 = 843,766/x
  3. Step 3: Cross multiply
    599,933x = 843,766 × 843,766
  4. Step 4: Simplify right side
    599,933x = 711,941,062,756
  5. Step 5: Solve for x
    x = 711,941,062,756/599,933
  6. Step 6: Final answer
    x = 1,186,700.95

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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.