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Finding the Third Proportional to 911,643.75 and 1,998,234

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Solution

The third proportional to 911,643.75 and 1,998,234 is: 4,379,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,643.75 : 1,998,234 = 1,998,234 : x
  2. Step 2: Convert to fraction form
    911,643.75/1,998,234 = 1,998,234/x
  3. Step 3: Cross multiply
    911,643.75x = 1,998,234 × 1,998,234
  4. Step 4: Simplify right side
    911,643.75x = 3,992,939,118,756
  5. Step 5: Solve for x
    x = 3,992,939,118,756/911,643.75
  6. Step 6: Final answer
    x = 4,379,933.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.