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Finding the Third Proportional to 857,872 and 1,694,214

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Solution

The third proportional to 857,872 and 1,694,214 is: 3,345,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,872 : 1,694,214 = 1,694,214 : x
  2. Step 2: Convert to fraction form
    857,872/1,694,214 = 1,694,214/x
  3. Step 3: Cross multiply
    857,872x = 1,694,214 × 1,694,214
  4. Step 4: Simplify right side
    857,872x = 2,870,361,077,796
  5. Step 5: Solve for x
    x = 2,870,361,077,796/857,872
  6. Step 6: Final answer
    x = 3,345,908.34

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.