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Finding the Third Proportional to 852,168 and 1,856,874

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Solution

The third proportional to 852,168 and 1,856,874 is: 4,046,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,168 : 1,856,874 = 1,856,874 : x
  2. Step 2: Convert to fraction form
    852,168/1,856,874 = 1,856,874/x
  3. Step 3: Cross multiply
    852,168x = 1,856,874 × 1,856,874
  4. Step 4: Simplify right side
    852,168x = 3,447,981,051,876
  5. Step 5: Solve for x
    x = 3,447,981,051,876/852,168
  6. Step 6: Final answer
    x = 4,046,128.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.