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Finding the Third Proportional to 815,860 and 1,743,824

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Solution

The third proportional to 815,860 and 1,743,824 is: 3,727,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,860 : 1,743,824 = 1,743,824 : x
  2. Step 2: Convert to fraction form
    815,860/1,743,824 = 1,743,824/x
  3. Step 3: Cross multiply
    815,860x = 1,743,824 × 1,743,824
  4. Step 4: Simplify right side
    815,860x = 3,040,922,142,976
  5. Step 5: Solve for x
    x = 3,040,922,142,976/815,860
  6. Step 6: Final answer
    x = 3,727,259.75

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Why These Related Problems?

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