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Finding the Third Proportional to 830,997 and 1,786,134

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Solution

The third proportional to 830,997 and 1,786,134 is: 3,839,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,997 : 1,786,134 = 1,786,134 : x
  2. Step 2: Convert to fraction form
    830,997/1,786,134 = 1,786,134/x
  3. Step 3: Cross multiply
    830,997x = 1,786,134 × 1,786,134
  4. Step 4: Simplify right side
    830,997x = 3,190,274,665,956
  5. Step 5: Solve for x
    x = 3,190,274,665,956/830,997
  6. Step 6: Final answer
    x = 3,839,092.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.