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Finding the Third Proportional to 467,523.75 and 1,009,782

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Solution

The third proportional to 467,523.75 and 1,009,782 is: 2,180,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,523.75 : 1,009,782 = 1,009,782 : x
  2. Step 2: Convert to fraction form
    467,523.75/1,009,782 = 1,009,782/x
  3. Step 3: Cross multiply
    467,523.75x = 1,009,782 × 1,009,782
  4. Step 4: Simplify right side
    467,523.75x = 1,019,659,687,524
  5. Step 5: Solve for x
    x = 1,019,659,687,524/467,523.75
  6. Step 6: Final answer
    x = 2,180,979.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.