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Finding the Third Proportional to 831,632 and 1,791,163

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Solution

The third proportional to 831,632 and 1,791,163 is: 3,857,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,632 : 1,791,163 = 1,791,163 : x
  2. Step 2: Convert to fraction form
    831,632/1,791,163 = 1,791,163/x
  3. Step 3: Cross multiply
    831,632x = 1,791,163 × 1,791,163
  4. Step 4: Simplify right side
    831,632x = 3,208,264,892,569
  5. Step 5: Solve for x
    x = 3,208,264,892,569/831,632
  6. Step 6: Final answer
    x = 3,857,793.94

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Why These Related Problems?

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