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Finding the Third Proportional to 611,918 and 860,193

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Solution

The third proportional to 611,918 and 860,193 is: 1,209,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,918 : 860,193 = 860,193 : x
  2. Step 2: Convert to fraction form
    611,918/860,193 = 860,193/x
  3. Step 3: Cross multiply
    611,918x = 860,193 × 860,193
  4. Step 4: Simplify right side
    611,918x = 739,931,997,249
  5. Step 5: Solve for x
    x = 739,931,997,249/611,918
  6. Step 6: Final answer
    x = 1,209,201.23

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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.