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Finding the Third Proportional to 481,689 and 992,538

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Solution

The third proportional to 481,689 and 992,538 is: 2,045,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,689 : 992,538 = 992,538 : x
  2. Step 2: Convert to fraction form
    481,689/992,538 = 992,538/x
  3. Step 3: Cross multiply
    481,689x = 992,538 × 992,538
  4. Step 4: Simplify right side
    481,689x = 985,131,681,444
  5. Step 5: Solve for x
    x = 985,131,681,444/481,689
  6. Step 6: Final answer
    x = 2,045,161.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.