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Finding the Third Proportional to 414,513 and 860,183

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Solution

The third proportional to 414,513 and 860,183 is: 1,785,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,513 : 860,183 = 860,183 : x
  2. Step 2: Convert to fraction form
    414,513/860,183 = 860,183/x
  3. Step 3: Cross multiply
    414,513x = 860,183 × 860,183
  4. Step 4: Simplify right side
    414,513x = 739,914,793,489
  5. Step 5: Solve for x
    x = 739,914,793,489/414,513
  6. Step 6: Final answer
    x = 1,785,021.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.