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Finding the Third Proportional to 494,337 and 1,063,191

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Solution

The third proportional to 494,337 and 1,063,191 is: 2,286,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,337 : 1,063,191 = 1,063,191 : x
  2. Step 2: Convert to fraction form
    494,337/1,063,191 = 1,063,191/x
  3. Step 3: Cross multiply
    494,337x = 1,063,191 × 1,063,191
  4. Step 4: Simplify right side
    494,337x = 1,130,375,102,481
  5. Step 5: Solve for x
    x = 1,130,375,102,481/494,337
  6. Step 6: Final answer
    x = 2,286,648.79

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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.