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Finding the Third Proportional to 831,170 and 1,817,860

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Solution

The third proportional to 831,170 and 1,817,860 is: 3,975,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,170 : 1,817,860 = 1,817,860 : x
  2. Step 2: Convert to fraction form
    831,170/1,817,860 = 1,817,860/x
  3. Step 3: Cross multiply
    831,170x = 1,817,860 × 1,817,860
  4. Step 4: Simplify right side
    831,170x = 3,304,614,979,600
  5. Step 5: Solve for x
    x = 3,304,614,979,600/831,170
  6. Step 6: Final answer
    x = 3,975,859.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.