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Finding the Third Proportional to 831,206 and 1,817,932

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Solution

The third proportional to 831,206 and 1,817,932 is: 3,976,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,206 : 1,817,932 = 1,817,932 : x
  2. Step 2: Convert to fraction form
    831,206/1,817,932 = 1,817,932/x
  3. Step 3: Cross multiply
    831,206x = 1,817,932 × 1,817,932
  4. Step 4: Simplify right side
    831,206x = 3,304,876,756,624
  5. Step 5: Solve for x
    x = 3,304,876,756,624/831,206
  6. Step 6: Final answer
    x = 3,976,002.05

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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.