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Finding the Third Proportional to 2,835,600 and 4,305,825

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Solution

The third proportional to 2,835,600 and 4,305,825 is: 6,538,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835,600 : 4,305,825 = 4,305,825 : x
  2. Step 2: Convert to fraction form
    2,835,600/4,305,825 = 4,305,825/x
  3. Step 3: Cross multiply
    2,835,600x = 4,305,825 × 4,305,825
  4. Step 4: Simplify right side
    2,835,600x = 18,540,128,930,625
  5. Step 5: Solve for x
    x = 18,540,128,930,625/2,835,600
  6. Step 6: Final answer
    x = 6,538,344.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.