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Finding the Third Proportional to 611,911 and 860,183

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Solution

The third proportional to 611,911 and 860,183 is: 1,209,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,911 : 860,183 = 860,183 : x
  2. Step 2: Convert to fraction form
    611,911/860,183 = 860,183/x
  3. Step 3: Cross multiply
    611,911x = 860,183 × 860,183
  4. Step 4: Simplify right side
    611,911x = 739,914,793,489
  5. Step 5: Solve for x
    x = 739,914,793,489/611,911
  6. Step 6: Final answer
    x = 1,209,186.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.