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Finding the Third Proportional to 1,629,823.50 and 3,540,125

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Solution

The third proportional to 1,629,823.50 and 3,540,125 is: 7,689,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,823.50 : 3,540,125 = 3,540,125 : x
  2. Step 2: Convert to fraction form
    1,629,823.50/3,540,125 = 3,540,125/x
  3. Step 3: Cross multiply
    1,629,823.50x = 3,540,125 × 3,540,125
  4. Step 4: Simplify right side
    1,629,823.50x = 12,532,485,015,625
  5. Step 5: Solve for x
    x = 12,532,485,015,625/1,629,823.50
  6. Step 6: Final answer
    x = 7,689,473.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.