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Finding the Third Proportional to 1,189,493.25 and 1,784,604.75

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Solution

The third proportional to 1,189,493.25 and 1,784,604.75 is: 2,677,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,493.25 : 1,784,604.75 = 1,784,604.75 : x
  2. Step 2: Convert to fraction form
    1,189,493.25/1,784,604.75 = 1,784,604.75/x
  3. Step 3: Cross multiply
    1,189,493.25x = 1,784,604.75 × 1,784,604.75
  4. Step 4: Simplify right side
    1,189,493.25x = 3,184,814,113,722.56
  5. Step 5: Solve for x
    x = 3,184,814,113,722.56/1,189,493.25
  6. Step 6: Final answer
    x = 2,677,454.55

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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.