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Finding the Third Proportional to 825,856 and 1,786,880

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Solution

The third proportional to 825,856 and 1,786,880 is: 3,866,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,856 : 1,786,880 = 1,786,880 : x
  2. Step 2: Convert to fraction form
    825,856/1,786,880 = 1,786,880/x
  3. Step 3: Cross multiply
    825,856x = 1,786,880 × 1,786,880
  4. Step 4: Simplify right side
    825,856x = 3,192,940,134,400
  5. Step 5: Solve for x
    x = 3,192,940,134,400/825,856
  6. Step 6: Final answer
    x = 3,866,218.97

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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.