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Finding the Third Proportional to 414,511 and 860,179

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Solution

The third proportional to 414,511 and 860,179 is: 1,785,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,511 : 860,179 = 860,179 : x
  2. Step 2: Convert to fraction form
    414,511/860,179 = 860,179/x
  3. Step 3: Cross multiply
    414,511x = 860,179 × 860,179
  4. Step 4: Simplify right side
    414,511x = 739,907,912,041
  5. Step 5: Solve for x
    x = 739,907,912,041/414,511
  6. Step 6: Final answer
    x = 1,785,013.94

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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.