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Finding the Third Proportional to 4,188,144 and 6,404,022

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Solution

The third proportional to 4,188,144 and 6,404,022 is: 9,792,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188,144 : 6,404,022 = 6,404,022 : x
  2. Step 2: Convert to fraction form
    4,188,144/6,404,022 = 6,404,022/x
  3. Step 3: Cross multiply
    4,188,144x = 6,404,022 × 6,404,022
  4. Step 4: Simplify right side
    4,188,144x = 41,011,497,776,484
  5. Step 5: Solve for x
    x = 41,011,497,776,484/4,188,144
  6. Step 6: Final answer
    x = 9,792,284.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.