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Finding the Third Proportional to 452,197.69 and 941,604.75

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Solution

The third proportional to 452,197.69 and 941,604.75 is: 1,960,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,197.69 : 941,604.75 = 941,604.75 : x
  2. Step 2: Convert to fraction form
    452,197.69/941,604.75 = 941,604.75/x
  3. Step 3: Cross multiply
    452,197.69x = 941,604.75 × 941,604.75
  4. Step 4: Simplify right side
    452,197.69x = 886,619,505,222.56
  5. Step 5: Solve for x
    x = 886,619,505,222.56/452,197.69
  6. Step 6: Final answer
    x = 1,960,690.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.