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Finding the Third Proportional to 923,760 and 1,381,950

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Solution

The third proportional to 923,760 and 1,381,950 is: 2,067,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,760 : 1,381,950 = 1,381,950 : x
  2. Step 2: Convert to fraction form
    923,760/1,381,950 = 1,381,950/x
  3. Step 3: Cross multiply
    923,760x = 1,381,950 × 1,381,950
  4. Step 4: Simplify right side
    923,760x = 1,909,785,802,500
  5. Step 5: Solve for x
    x = 1,909,785,802,500/923,760
  6. Step 6: Final answer
    x = 2,067,404.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.