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Finding the Third Proportional to 611,915 and 860,189

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Solution

The third proportional to 611,915 and 860,189 is: 1,209,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,915 : 860,189 = 860,189 : x
  2. Step 2: Convert to fraction form
    611,915/860,189 = 860,189/x
  3. Step 3: Cross multiply
    611,915x = 860,189 × 860,189
  4. Step 4: Simplify right side
    611,915x = 739,925,115,721
  5. Step 5: Solve for x
    x = 739,925,115,721/611,915
  6. Step 6: Final answer
    x = 1,209,195.91

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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.