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Finding the Third Proportional to 467,541 and 1,022,561

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Solution

The third proportional to 467,541 and 1,022,561 is: 2,236,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,541 : 1,022,561 = 1,022,561 : x
  2. Step 2: Convert to fraction form
    467,541/1,022,561 = 1,022,561/x
  3. Step 3: Cross multiply
    467,541x = 1,022,561 × 1,022,561
  4. Step 4: Simplify right side
    467,541x = 1,045,630,998,721
  5. Step 5: Solve for x
    x = 1,045,630,998,721/467,541
  6. Step 6: Final answer
    x = 2,236,447.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.