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Finding the Third Proportional to 611,838 and 860,067

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Solution

The third proportional to 611,838 and 860,067 is: 1,209,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,838 : 860,067 = 860,067 : x
  2. Step 2: Convert to fraction form
    611,838/860,067 = 860,067/x
  3. Step 3: Cross multiply
    611,838x = 860,067 × 860,067
  4. Step 4: Simplify right side
    611,838x = 739,715,244,489
  5. Step 5: Solve for x
    x = 739,715,244,489/611,838
  6. Step 6: Final answer
    x = 1,209,005.07

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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.