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Finding the Third Proportional to 451,161 and 1,003,191.75

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Solution

The third proportional to 451,161 and 1,003,191.75 is: 2,230,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,161 : 1,003,191.75 = 1,003,191.75 : x
  2. Step 2: Convert to fraction form
    451,161/1,003,191.75 = 1,003,191.75/x
  3. Step 3: Cross multiply
    451,161x = 1,003,191.75 × 1,003,191.75
  4. Step 4: Simplify right side
    451,161x = 1,006,393,687,268.06
  5. Step 5: Solve for x
    x = 1,006,393,687,268.06/451,161
  6. Step 6: Final answer
    x = 2,230,675.27

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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.