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Finding the Third Proportional to 4,183,744 and 6,464,832

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Solution

The third proportional to 4,183,744 and 6,464,832 is: 9,989,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183,744 : 6,464,832 = 6,464,832 : x
  2. Step 2: Convert to fraction form
    4,183,744/6,464,832 = 6,464,832/x
  3. Step 3: Cross multiply
    4,183,744x = 6,464,832 × 6,464,832
  4. Step 4: Simplify right side
    4,183,744x = 41,794,052,788,224
  5. Step 5: Solve for x
    x = 41,794,052,788,224/4,183,744
  6. Step 6: Final answer
    x = 9,989,629.57

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