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Finding the Third Proportional to 2,305,749 and 3,664,668

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Solution

The third proportional to 2,305,749 and 3,664,668 is: 5,824,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,749 : 3,664,668 = 3,664,668 : x
  2. Step 2: Convert to fraction form
    2,305,749/3,664,668 = 3,664,668/x
  3. Step 3: Cross multiply
    2,305,749x = 3,664,668 × 3,664,668
  4. Step 4: Simplify right side
    2,305,749x = 13,429,791,550,224
  5. Step 5: Solve for x
    x = 13,429,791,550,224/2,305,749
  6. Step 6: Final answer
    x = 5,824,481.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.