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Finding the Third Proportional to 2,629,280.25 and 3,961,224

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Solution

The third proportional to 2,629,280.25 and 3,961,224 is: 5,967,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629,280.25 : 3,961,224 = 3,961,224 : x
  2. Step 2: Convert to fraction form
    2,629,280.25/3,961,224 = 3,961,224/x
  3. Step 3: Cross multiply
    2,629,280.25x = 3,961,224 × 3,961,224
  4. Step 4: Simplify right side
    2,629,280.25x = 15,691,295,578,176
  5. Step 5: Solve for x
    x = 15,691,295,578,176/2,629,280.25
  6. Step 6: Final answer
    x = 5,967,905.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.