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Finding the Third Proportional to 769,923 and 1,588,628

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Solution

The third proportional to 769,923 and 1,588,628 is: 3,277,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,923 : 1,588,628 = 1,588,628 : x
  2. Step 2: Convert to fraction form
    769,923/1,588,628 = 1,588,628/x
  3. Step 3: Cross multiply
    769,923x = 1,588,628 × 1,588,628
  4. Step 4: Simplify right side
    769,923x = 2,523,738,922,384
  5. Step 5: Solve for x
    x = 2,523,738,922,384/769,923
  6. Step 6: Final answer
    x = 3,277,910.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.