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Finding the Third Proportional to 1,188,089 and 1,782,163.50

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Solution

The third proportional to 1,188,089 and 1,782,163.50 is: 2,673,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,089 : 1,782,163.50 = 1,782,163.50 : x
  2. Step 2: Convert to fraction form
    1,188,089/1,782,163.50 = 1,782,163.50/x
  3. Step 3: Cross multiply
    1,188,089x = 1,782,163.50 × 1,782,163.50
  4. Step 4: Simplify right side
    1,188,089x = 3,176,106,740,732.25
  5. Step 5: Solve for x
    x = 3,176,106,740,732.25/1,188,089
  6. Step 6: Final answer
    x = 2,673,290.25

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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.