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Finding the Third Proportional to 619,186.50 and 944,794.83

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Solution

The third proportional to 619,186.50 and 944,794.83 is: 1,441,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,186.50 : 944,794.83 = 944,794.83 : x
  2. Step 2: Convert to fraction form
    619,186.50/944,794.83 = 944,794.83/x
  3. Step 3: Cross multiply
    619,186.50x = 944,794.83 × 944,794.83
  4. Step 4: Simplify right side
    619,186.50x = 892,637,267,251.75
  5. Step 5: Solve for x
    x = 892,637,267,251.75/619,186.50
  6. Step 6: Final answer
    x = 1,441,629.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.