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Finding the Third Proportional to 450,816 and 951,930

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Solution

The third proportional to 450,816 and 951,930 is: 2,010,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,816 : 951,930 = 951,930 : x
  2. Step 2: Convert to fraction form
    450,816/951,930 = 951,930/x
  3. Step 3: Cross multiply
    450,816x = 951,930 × 951,930
  4. Step 4: Simplify right side
    450,816x = 906,170,724,900
  5. Step 5: Solve for x
    x = 906,170,724,900/450,816
  6. Step 6: Final answer
    x = 2,010,067.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.