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Finding the Third Proportional to 2,036,191.50 and 4,020,975

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Solution

The third proportional to 2,036,191.50 and 4,020,975 is: 7,940,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,191.50 : 4,020,975 = 4,020,975 : x
  2. Step 2: Convert to fraction form
    2,036,191.50/4,020,975 = 4,020,975/x
  3. Step 3: Cross multiply
    2,036,191.50x = 4,020,975 × 4,020,975
  4. Step 4: Simplify right side
    2,036,191.50x = 16,168,239,950,625
  5. Step 5: Solve for x
    x = 16,168,239,950,625/2,036,191.50
  6. Step 6: Final answer
    x = 7,940,431.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.