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Finding the Third Proportional to 1,188,321.75 and 2,566,044

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Solution

The third proportional to 1,188,321.75 and 2,566,044 is: 5,541,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,321.75 : 2,566,044 = 2,566,044 : x
  2. Step 2: Convert to fraction form
    1,188,321.75/2,566,044 = 2,566,044/x
  3. Step 3: Cross multiply
    1,188,321.75x = 2,566,044 × 2,566,044
  4. Step 4: Simplify right side
    1,188,321.75x = 6,584,581,809,936
  5. Step 5: Solve for x
    x = 6,584,581,809,936/1,188,321.75
  6. Step 6: Final answer
    x = 5,541,076.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.