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Finding the Third Proportional to 3,194,809 and 6,876,772

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Solution

The third proportional to 3,194,809 and 6,876,772 is: 14,802,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,809 : 6,876,772 = 6,876,772 : x
  2. Step 2: Convert to fraction form
    3,194,809/6,876,772 = 6,876,772/x
  3. Step 3: Cross multiply
    3,194,809x = 6,876,772 × 6,876,772
  4. Step 4: Simplify right side
    3,194,809x = 47,289,993,139,984
  5. Step 5: Solve for x
    x = 47,289,993,139,984/3,194,809
  6. Step 6: Final answer
    x = 14,802,134.69

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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.