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Finding the Third Proportional to 451,176.75 and 1,003,215

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Solution

The third proportional to 451,176.75 and 1,003,215 is: 2,230,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,176.75 : 1,003,215 = 1,003,215 : x
  2. Step 2: Convert to fraction form
    451,176.75/1,003,215 = 1,003,215/x
  3. Step 3: Cross multiply
    451,176.75x = 1,003,215 × 1,003,215
  4. Step 4: Simplify right side
    451,176.75x = 1,006,440,336,225
  5. Step 5: Solve for x
    x = 1,006,440,336,225/451,176.75
  6. Step 6: Final answer
    x = 2,230,700.80

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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.