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Finding the Third Proportional to 892,419 and 1,740,000

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Solution

The third proportional to 892,419 and 1,740,000 is: 3,392,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,419 : 1,740,000 = 1,740,000 : x
  2. Step 2: Convert to fraction form
    892,419/1,740,000 = 1,740,000/x
  3. Step 3: Cross multiply
    892,419x = 1,740,000 × 1,740,000
  4. Step 4: Simplify right side
    892,419x = 3,027,600,000,000
  5. Step 5: Solve for x
    x = 3,027,600,000,000/892,419
  6. Step 6: Final answer
    x = 3,392,576.81

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.