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Finding the Third Proportional to 857,870 and 1,694,210

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Solution

The third proportional to 857,870 and 1,694,210 is: 3,345,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,870 : 1,694,210 = 1,694,210 : x
  2. Step 2: Convert to fraction form
    857,870/1,694,210 = 1,694,210/x
  3. Step 3: Cross multiply
    857,870x = 1,694,210 × 1,694,210
  4. Step 4: Simplify right side
    857,870x = 2,870,347,524,100
  5. Step 5: Solve for x
    x = 2,870,347,524,100/857,870
  6. Step 6: Final answer
    x = 3,345,900.34

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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.