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Finding the Third Proportional to 831,612 and 1,287,162

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Solution

The third proportional to 831,612 and 1,287,162 is: 1,992,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,612 : 1,287,162 = 1,287,162 : x
  2. Step 2: Convert to fraction form
    831,612/1,287,162 = 1,287,162/x
  3. Step 3: Cross multiply
    831,612x = 1,287,162 × 1,287,162
  4. Step 4: Simplify right side
    831,612x = 1,656,786,014,244
  5. Step 5: Solve for x
    x = 1,656,786,014,244/831,612
  6. Step 6: Final answer
    x = 1,992,258.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.