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Finding the Third Proportional to 823,992 and 1,736,560

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Solution

The third proportional to 823,992 and 1,736,560 is: 3,659,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,992 : 1,736,560 = 1,736,560 : x
  2. Step 2: Convert to fraction form
    823,992/1,736,560 = 1,736,560/x
  3. Step 3: Cross multiply
    823,992x = 1,736,560 × 1,736,560
  4. Step 4: Simplify right side
    823,992x = 3,015,640,633,600
  5. Step 5: Solve for x
    x = 3,015,640,633,600/823,992
  6. Step 6: Final answer
    x = 3,659,793.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.