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Finding the Third Proportional to 857,866 and 1,694,202

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Solution

The third proportional to 857,866 and 1,694,202 is: 3,345,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,866 : 1,694,202 = 1,694,202 : x
  2. Step 2: Convert to fraction form
    857,866/1,694,202 = 1,694,202/x
  3. Step 3: Cross multiply
    857,866x = 1,694,202 × 1,694,202
  4. Step 4: Simplify right side
    857,866x = 2,870,320,416,804
  5. Step 5: Solve for x
    x = 2,870,320,416,804/857,866
  6. Step 6: Final answer
    x = 3,345,884.34

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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.