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Finding the Third Proportional to 494,538 and 1,059,060

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Solution

The third proportional to 494,538 and 1,059,060 is: 2,267,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,538 : 1,059,060 = 1,059,060 : x
  2. Step 2: Convert to fraction form
    494,538/1,059,060 = 1,059,060/x
  3. Step 3: Cross multiply
    494,538x = 1,059,060 × 1,059,060
  4. Step 4: Simplify right side
    494,538x = 1,121,608,083,600
  5. Step 5: Solve for x
    x = 1,121,608,083,600/494,538
  6. Step 6: Final answer
    x = 2,267,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.