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Finding the Third Proportional to 1,003,161.75 and 2,236,077

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Solution

The third proportional to 1,003,161.75 and 2,236,077 is: 4,984,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,161.75 : 2,236,077 = 2,236,077 : x
  2. Step 2: Convert to fraction form
    1,003,161.75/2,236,077 = 2,236,077/x
  3. Step 3: Cross multiply
    1,003,161.75x = 2,236,077 × 2,236,077
  4. Step 4: Simplify right side
    1,003,161.75x = 5,000,040,349,929
  5. Step 5: Solve for x
    x = 5,000,040,349,929/1,003,161.75
  6. Step 6: Final answer
    x = 4,984,281.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.