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Finding the Third Proportional to 1,741,969 and 2,407,078

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Solution

The third proportional to 1,741,969 and 2,407,078 is: 3,326,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,969 : 2,407,078 = 2,407,078 : x
  2. Step 2: Convert to fraction form
    1,741,969/2,407,078 = 2,407,078/x
  3. Step 3: Cross multiply
    1,741,969x = 2,407,078 × 2,407,078
  4. Step 4: Simplify right side
    1,741,969x = 5,794,024,498,084
  5. Step 5: Solve for x
    x = 5,794,024,498,084/1,741,969
  6. Step 6: Final answer
    x = 3,326,135.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.