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Finding the Third Proportional to 1,059,230.25 and 2,353,839.75

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Solution

The third proportional to 1,059,230.25 and 2,353,839.75 is: 5,230,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,230.25 : 2,353,839.75 = 2,353,839.75 : x
  2. Step 2: Convert to fraction form
    1,059,230.25/2,353,839.75 = 2,353,839.75/x
  3. Step 3: Cross multiply
    1,059,230.25x = 2,353,839.75 × 2,353,839.75
  4. Step 4: Simplify right side
    1,059,230.25x = 5,540,561,568,680.06
  5. Step 5: Solve for x
    x = 5,540,561,568,680.06/1,059,230.25
  6. Step 6: Final answer
    x = 5,230,743.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.