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Finding the Third Proportional to 412,833 and 853,983

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Solution

The third proportional to 412,833 and 853,983 is: 1,766,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,833 : 853,983 = 853,983 : x
  2. Step 2: Convert to fraction form
    412,833/853,983 = 853,983/x
  3. Step 3: Cross multiply
    412,833x = 853,983 × 853,983
  4. Step 4: Simplify right side
    412,833x = 729,286,964,289
  5. Step 5: Solve for x
    x = 729,286,964,289/412,833
  6. Step 6: Final answer
    x = 1,766,542.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.