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Finding the Third Proportional to 857,900 and 1,694,270

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Solution

The third proportional to 857,900 and 1,694,270 is: 3,346,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,900 : 1,694,270 = 1,694,270 : x
  2. Step 2: Convert to fraction form
    857,900/1,694,270 = 1,694,270/x
  3. Step 3: Cross multiply
    857,900x = 1,694,270 × 1,694,270
  4. Step 4: Simplify right side
    857,900x = 2,870,550,832,900
  5. Step 5: Solve for x
    x = 2,870,550,832,900/857,900
  6. Step 6: Final answer
    x = 3,346,020.32

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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.