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Finding the Third Proportional to 898,249.50 and 1,947,584.25

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Solution

The third proportional to 898,249.50 and 1,947,584.25 is: 4,222,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,249.50 : 1,947,584.25 = 1,947,584.25 : x
  2. Step 2: Convert to fraction form
    898,249.50/1,947,584.25 = 1,947,584.25/x
  3. Step 3: Cross multiply
    898,249.50x = 1,947,584.25 × 1,947,584.25
  4. Step 4: Simplify right side
    898,249.50x = 3,793,084,410,848.06
  5. Step 5: Solve for x
    x = 3,793,084,410,848.06/898,249.50
  6. Step 6: Final answer
    x = 4,222,751.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.