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Finding the Third Proportional to 599,162 and 842,761

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Solution

The third proportional to 599,162 and 842,761 is: 1,185,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,162 : 842,761 = 842,761 : x
  2. Step 2: Convert to fraction form
    599,162/842,761 = 842,761/x
  3. Step 3: Cross multiply
    599,162x = 842,761 × 842,761
  4. Step 4: Simplify right side
    599,162x = 710,246,103,121
  5. Step 5: Solve for x
    x = 710,246,103,121/599,162
  6. Step 6: Final answer
    x = 1,185,399.11

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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.