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Finding the Third Proportional to 746,852 and 1,638,832

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Solution

The third proportional to 746,852 and 1,638,832 is: 3,596,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,852 : 1,638,832 = 1,638,832 : x
  2. Step 2: Convert to fraction form
    746,852/1,638,832 = 1,638,832/x
  3. Step 3: Cross multiply
    746,852x = 1,638,832 × 1,638,832
  4. Step 4: Simplify right side
    746,852x = 2,685,770,324,224
  5. Step 5: Solve for x
    x = 2,685,770,324,224/746,852
  6. Step 6: Final answer
    x = 3,596,121.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.