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Finding the Third Proportional to 947,153.25 and 2,093,642.44

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Solution

The third proportional to 947,153.25 and 2,093,642.44 is: 4,627,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,153.25 : 2,093,642.44 = 2,093,642.44 : x
  2. Step 2: Convert to fraction form
    947,153.25/2,093,642.44 = 2,093,642.44/x
  3. Step 3: Cross multiply
    947,153.25x = 2,093,642.44 × 2,093,642.44
  4. Step 4: Simplify right side
    947,153.25x = 4,383,338,656,100.94
  5. Step 5: Solve for x
    x = 4,383,338,656,100.94/947,153.25
  6. Step 6: Final answer
    x = 4,627,908.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.