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Finding the Third Proportional to 1,189,817.44 and 1,787,364.56

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Solution

The third proportional to 1,189,817.44 and 1,787,364.56 is: 2,685,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,817.44 : 1,787,364.56 = 1,787,364.56 : x
  2. Step 2: Convert to fraction form
    1,189,817.44/1,787,364.56 = 1,787,364.56/x
  3. Step 3: Cross multiply
    1,189,817.44x = 1,787,364.56 × 1,787,364.56
  4. Step 4: Simplify right side
    1,189,817.44x = 3,194,672,079,280.82
  5. Step 5: Solve for x
    x = 3,194,672,079,280.82/1,189,817.44
  6. Step 6: Final answer
    x = 2,685,010.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.