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Finding the Third Proportional to 857,911.50 and 1,694,297.25

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Solution

The third proportional to 857,911.50 and 1,694,297.25 is: 3,346,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,911.50 : 1,694,297.25 = 1,694,297.25 : x
  2. Step 2: Convert to fraction form
    857,911.50/1,694,297.25 = 1,694,297.25/x
  3. Step 3: Cross multiply
    857,911.50x = 1,694,297.25 × 1,694,297.25
  4. Step 4: Simplify right side
    857,911.50x = 2,870,643,171,357.56
  5. Step 5: Solve for x
    x = 2,870,643,171,357.56/857,911.50
  6. Step 6: Final answer
    x = 3,346,083.10

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Why These Related Problems?

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