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Finding the Third Proportional to 842,107.50 and 1,810,311.75

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Solution

The third proportional to 842,107.50 and 1,810,311.75 is: 3,891,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,107.50 : 1,810,311.75 = 1,810,311.75 : x
  2. Step 2: Convert to fraction form
    842,107.50/1,810,311.75 = 1,810,311.75/x
  3. Step 3: Cross multiply
    842,107.50x = 1,810,311.75 × 1,810,311.75
  4. Step 4: Simplify right side
    842,107.50x = 3,277,228,632,188.06
  5. Step 5: Solve for x
    x = 3,277,228,632,188.06/842,107.50
  6. Step 6: Final answer
    x = 3,891,698.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.