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Finding the Third Proportional to 2,200,896.56 and 4,694,294.25

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Solution

The third proportional to 2,200,896.56 and 4,694,294.25 is: 10,012,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200,896.56 : 4,694,294.25 = 4,694,294.25 : x
  2. Step 2: Convert to fraction form
    2,200,896.56/4,694,294.25 = 4,694,294.25/x
  3. Step 3: Cross multiply
    2,200,896.56x = 4,694,294.25 × 4,694,294.25
  4. Step 4: Simplify right side
    2,200,896.56x = 22,036,398,505,583.06
  5. Step 5: Solve for x
    x = 22,036,398,505,583.06/2,200,896.56
  6. Step 6: Final answer
    x = 10,012,464.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.