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Finding the Third Proportional to 613,542 and 1,318,161

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Solution

The third proportional to 613,542 and 1,318,161 is: 2,831,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,542 : 1,318,161 = 1,318,161 : x
  2. Step 2: Convert to fraction form
    613,542/1,318,161 = 1,318,161/x
  3. Step 3: Cross multiply
    613,542x = 1,318,161 × 1,318,161
  4. Step 4: Simplify right side
    613,542x = 1,737,548,421,921
  5. Step 5: Solve for x
    x = 1,737,548,421,921/613,542
  6. Step 6: Final answer
    x = 2,831,995.89

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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.