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Finding the Third Proportional to 2,105,825 and 3,331,601

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Solution

The third proportional to 2,105,825 and 3,331,601 is: 5,270,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,825 : 3,331,601 = 3,331,601 : x
  2. Step 2: Convert to fraction form
    2,105,825/3,331,601 = 3,331,601/x
  3. Step 3: Cross multiply
    2,105,825x = 3,331,601 × 3,331,601
  4. Step 4: Simplify right side
    2,105,825x = 11,099,565,223,201
  5. Step 5: Solve for x
    x = 11,099,565,223,201/2,105,825
  6. Step 6: Final answer
    x = 5,270,886.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.