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Finding the Third Proportional to 3,212,680 and 4,711,722

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Solution

The third proportional to 3,212,680 and 4,711,722 is: 6,910,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,680 : 4,711,722 = 4,711,722 : x
  2. Step 2: Convert to fraction form
    3,212,680/4,711,722 = 4,711,722/x
  3. Step 3: Cross multiply
    3,212,680x = 4,711,722 × 4,711,722
  4. Step 4: Simplify right side
    3,212,680x = 22,200,324,205,284
  5. Step 5: Solve for x
    x = 22,200,324,205,284/3,212,680
  6. Step 6: Final answer
    x = 6,910,219.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.