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Finding the Third Proportional to 831,195 and 1,817,910

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Solution

The third proportional to 831,195 and 1,817,910 is: 3,975,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,195 : 1,817,910 = 1,817,910 : x
  2. Step 2: Convert to fraction form
    831,195/1,817,910 = 1,817,910/x
  3. Step 3: Cross multiply
    831,195x = 1,817,910 × 1,817,910
  4. Step 4: Simplify right side
    831,195x = 3,304,796,768,100
  5. Step 5: Solve for x
    x = 3,304,796,768,100/831,195
  6. Step 6: Final answer
    x = 3,975,958.43

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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.