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Finding the Third Proportional to 675,438.75 and 1,027,091.25

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Solution

The third proportional to 675,438.75 and 1,027,091.25 is: 1,561,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,438.75 : 1,027,091.25 = 1,027,091.25 : x
  2. Step 2: Convert to fraction form
    675,438.75/1,027,091.25 = 1,027,091.25/x
  3. Step 3: Cross multiply
    675,438.75x = 1,027,091.25 × 1,027,091.25
  4. Step 4: Simplify right side
    675,438.75x = 1,054,916,435,826.56
  5. Step 5: Solve for x
    x = 1,054,916,435,826.56/675,438.75
  6. Step 6: Final answer
    x = 1,561,823.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.