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Finding the Third Proportional to 1,286,825 and 2,785,474

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Solution

The third proportional to 1,286,825 and 2,785,474 is: 6,029,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,825 : 2,785,474 = 2,785,474 : x
  2. Step 2: Convert to fraction form
    1,286,825/2,785,474 = 2,785,474/x
  3. Step 3: Cross multiply
    1,286,825x = 2,785,474 × 2,785,474
  4. Step 4: Simplify right side
    1,286,825x = 7,758,865,404,676
  5. Step 5: Solve for x
    x = 7,758,865,404,676/1,286,825
  6. Step 6: Final answer
    x = 6,029,464.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.