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Finding the Third Proportional to 4,505,978 and 6,981,610

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Solution

The third proportional to 4,505,978 and 6,981,610 is: 10,817,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505,978 : 6,981,610 = 6,981,610 : x
  2. Step 2: Convert to fraction form
    4,505,978/6,981,610 = 6,981,610/x
  3. Step 3: Cross multiply
    4,505,978x = 6,981,610 × 6,981,610
  4. Step 4: Simplify right side
    4,505,978x = 48,742,878,192,100
  5. Step 5: Solve for x
    x = 48,742,878,192,100/4,505,978
  6. Step 6: Final answer
    x = 10,817,380.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.