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Finding the Third Proportional to 611,934 and 860,214

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Solution

The third proportional to 611,934 and 860,214 is: 1,209,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,934 : 860,214 = 860,214 : x
  2. Step 2: Convert to fraction form
    611,934/860,214 = 860,214/x
  3. Step 3: Cross multiply
    611,934x = 860,214 × 860,214
  4. Step 4: Simplify right side
    611,934x = 739,968,125,796
  5. Step 5: Solve for x
    x = 739,968,125,796/611,934
  6. Step 6: Final answer
    x = 1,209,228.65

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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.