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Finding the Third Proportional to 3,212,660 and 4,711,692

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Solution

The third proportional to 3,212,660 and 4,711,692 is: 6,910,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,660 : 4,711,692 = 4,711,692 : x
  2. Step 2: Convert to fraction form
    3,212,660/4,711,692 = 4,711,692/x
  3. Step 3: Cross multiply
    3,212,660x = 4,711,692 × 4,711,692
  4. Step 4: Simplify right side
    3,212,660x = 22,200,041,502,864
  5. Step 5: Solve for x
    x = 22,200,041,502,864/3,212,660
  6. Step 6: Final answer
    x = 6,910,174.59

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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.