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Finding the Third Proportional to 777,556.50 and 1,269,672.75

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Solution

The third proportional to 777,556.50 and 1,269,672.75 is: 2,073,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,556.50 : 1,269,672.75 = 1,269,672.75 : x
  2. Step 2: Convert to fraction form
    777,556.50/1,269,672.75 = 1,269,672.75/x
  3. Step 3: Cross multiply
    777,556.50x = 1,269,672.75 × 1,269,672.75
  4. Step 4: Simplify right side
    777,556.50x = 1,612,068,892,092.56
  5. Step 5: Solve for x
    x = 1,612,068,892,092.56/777,556.50
  6. Step 6: Final answer
    x = 2,073,249.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.