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Finding the Third Proportional to 857,902 and 1,694,274

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Solution

The third proportional to 857,902 and 1,694,274 is: 3,346,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,902 : 1,694,274 = 1,694,274 : x
  2. Step 2: Convert to fraction form
    857,902/1,694,274 = 1,694,274/x
  3. Step 3: Cross multiply
    857,902x = 1,694,274 × 1,694,274
  4. Step 4: Simplify right side
    857,902x = 2,870,564,387,076
  5. Step 5: Solve for x
    x = 2,870,564,387,076/857,902
  6. Step 6: Final answer
    x = 3,346,028.32

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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.