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Finding the Third Proportional to 405,137 and 860,215

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Solution

The third proportional to 405,137 and 860,215 is: 1,826,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,137 : 860,215 = 860,215 : x
  2. Step 2: Convert to fraction form
    405,137/860,215 = 860,215/x
  3. Step 3: Cross multiply
    405,137x = 860,215 × 860,215
  4. Step 4: Simplify right side
    405,137x = 739,969,846,225
  5. Step 5: Solve for x
    x = 739,969,846,225/405,137
  6. Step 6: Final answer
    x = 1,826,468.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.