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Finding the Third Proportional to 451,162.50 and 1,003,197

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Solution

The third proportional to 451,162.50 and 1,003,197 is: 2,230,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,162.50 : 1,003,197 = 1,003,197 : x
  2. Step 2: Convert to fraction form
    451,162.50/1,003,197 = 1,003,197/x
  3. Step 3: Cross multiply
    451,162.50x = 1,003,197 × 1,003,197
  4. Step 4: Simplify right side
    451,162.50x = 1,006,404,220,809
  5. Step 5: Solve for x
    x = 1,006,404,220,809/451,162.50
  6. Step 6: Final answer
    x = 2,230,691.21

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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.