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Finding the Third Proportional to 815,856 and 1,743,816

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Solution

The third proportional to 815,856 and 1,743,816 is: 3,727,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,856 : 1,743,816 = 1,743,816 : x
  2. Step 2: Convert to fraction form
    815,856/1,743,816 = 1,743,816/x
  3. Step 3: Cross multiply
    815,856x = 1,743,816 × 1,743,816
  4. Step 4: Simplify right side
    815,856x = 3,040,894,241,856
  5. Step 5: Solve for x
    x = 3,040,894,241,856/815,856
  6. Step 6: Final answer
    x = 3,727,243.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.