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Finding the Third Proportional to 677,892 and 929,538

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Solution

The third proportional to 677,892 and 929,538 is: 1,274,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,892 : 929,538 = 929,538 : x
  2. Step 2: Convert to fraction form
    677,892/929,538 = 929,538/x
  3. Step 3: Cross multiply
    677,892x = 929,538 × 929,538
  4. Step 4: Simplify right side
    677,892x = 864,040,893,444
  5. Step 5: Solve for x
    x = 864,040,893,444/677,892
  6. Step 6: Final answer
    x = 1,274,599.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.