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Finding the Third Proportional to 481,847 and 1,036,361

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Solution

The third proportional to 481,847 and 1,036,361 is: 2,229,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,847 : 1,036,361 = 1,036,361 : x
  2. Step 2: Convert to fraction form
    481,847/1,036,361 = 1,036,361/x
  3. Step 3: Cross multiply
    481,847x = 1,036,361 × 1,036,361
  4. Step 4: Simplify right side
    481,847x = 1,074,044,122,321
  5. Step 5: Solve for x
    x = 1,074,044,122,321/481,847
  6. Step 6: Final answer
    x = 2,229,014.86

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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.