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Finding the Third Proportional to 412,867 and 863,186

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Solution

The third proportional to 412,867 and 863,186 is: 1,804,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,867 : 863,186 = 863,186 : x
  2. Step 2: Convert to fraction form
    412,867/863,186 = 863,186/x
  3. Step 3: Cross multiply
    412,867x = 863,186 × 863,186
  4. Step 4: Simplify right side
    412,867x = 745,090,070,596
  5. Step 5: Solve for x
    x = 745,090,070,596/412,867
  6. Step 6: Final answer
    x = 1,804,673.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.