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Finding the Third Proportional to 1,204,324.50 and 1,761,267

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Solution

The third proportional to 1,204,324.50 and 1,761,267 is: 2,575,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,324.50 : 1,761,267 = 1,761,267 : x
  2. Step 2: Convert to fraction form
    1,204,324.50/1,761,267 = 1,761,267/x
  3. Step 3: Cross multiply
    1,204,324.50x = 1,761,267 × 1,761,267
  4. Step 4: Simplify right side
    1,204,324.50x = 3,102,061,445,289
  5. Step 5: Solve for x
    x = 3,102,061,445,289/1,204,324.50
  6. Step 6: Final answer
    x = 2,575,768.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.