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Finding the Third Proportional to 2,035,102 and 4,469,696

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Solution

The third proportional to 2,035,102 and 4,469,696 is: 9,816,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035,102 : 4,469,696 = 4,469,696 : x
  2. Step 2: Convert to fraction form
    2,035,102/4,469,696 = 4,469,696/x
  3. Step 3: Cross multiply
    2,035,102x = 4,469,696 × 4,469,696
  4. Step 4: Simplify right side
    2,035,102x = 19,978,182,332,416
  5. Step 5: Solve for x
    x = 19,978,182,332,416/2,035,102
  6. Step 6: Final answer
    x = 9,816,796.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.