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Finding the Third Proportional to 1,188,224.44 and 1,788,009.19

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Solution

The third proportional to 1,188,224.44 and 1,788,009.19 is: 2,690,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,224.44 : 1,788,009.19 = 1,788,009.19 : x
  2. Step 2: Convert to fraction form
    1,188,224.44/1,788,009.19 = 1,788,009.19/x
  3. Step 3: Cross multiply
    1,188,224.44x = 1,788,009.19 × 1,788,009.19
  4. Step 4: Simplify right side
    1,188,224.44x = 3,196,976,854,584.41
  5. Step 5: Solve for x
    x = 3,196,976,854,584.41/1,188,224.44
  6. Step 6: Final answer
    x = 2,690,549.66

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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.