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Finding the Third Proportional to 431,120.81 and 906,891.19

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Solution

The third proportional to 431,120.81 and 906,891.19 is: 1,907,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,120.81 : 906,891.19 = 906,891.19 : x
  2. Step 2: Convert to fraction form
    431,120.81/906,891.19 = 906,891.19/x
  3. Step 3: Cross multiply
    431,120.81x = 906,891.19 × 906,891.19
  4. Step 4: Simplify right side
    431,120.81x = 822,451,625,965.16
  5. Step 5: Solve for x
    x = 822,451,625,965.16/431,120.81
  6. Step 6: Final answer
    x = 1,907,705.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.