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Finding the Third Proportional to 481,077 and 1,033,231.50

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Solution

The third proportional to 481,077 and 1,033,231.50 is: 2,219,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,077 : 1,033,231.50 = 1,033,231.50 : x
  2. Step 2: Convert to fraction form
    481,077/1,033,231.50 = 1,033,231.50/x
  3. Step 3: Cross multiply
    481,077x = 1,033,231.50 × 1,033,231.50
  4. Step 4: Simplify right side
    481,077x = 1,067,567,332,592.25
  5. Step 5: Solve for x
    x = 1,067,567,332,592.25/481,077
  6. Step 6: Final answer
    x = 2,219,119.46

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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.