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Finding the Third Proportional to 952,087.50 and 1,458,344.25

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Solution

The third proportional to 952,087.50 and 1,458,344.25 is: 2,233,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,087.50 : 1,458,344.25 = 1,458,344.25 : x
  2. Step 2: Convert to fraction form
    952,087.50/1,458,344.25 = 1,458,344.25/x
  3. Step 3: Cross multiply
    952,087.50x = 1,458,344.25 × 1,458,344.25
  4. Step 4: Simplify right side
    952,087.50x = 2,126,767,951,508.06
  5. Step 5: Solve for x
    x = 2,126,767,951,508.06/952,087.50
  6. Step 6: Final answer
    x = 2,233,794.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.