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Finding the Third Proportional to 404,925 and 871,149

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Solution

The third proportional to 404,925 and 871,149 is: 1,874,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,925 : 871,149 = 871,149 : x
  2. Step 2: Convert to fraction form
    404,925/871,149 = 871,149/x
  3. Step 3: Cross multiply
    404,925x = 871,149 × 871,149
  4. Step 4: Simplify right side
    404,925x = 758,900,580,201
  5. Step 5: Solve for x
    x = 758,900,580,201/404,925
  6. Step 6: Final answer
    x = 1,874,175.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.