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Finding the Third Proportional to 664,608 and 1,457,874

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Solution

The third proportional to 664,608 and 1,457,874 is: 3,197,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,608 : 1,457,874 = 1,457,874 : x
  2. Step 2: Convert to fraction form
    664,608/1,457,874 = 1,457,874/x
  3. Step 3: Cross multiply
    664,608x = 1,457,874 × 1,457,874
  4. Step 4: Simplify right side
    664,608x = 2,125,396,599,876
  5. Step 5: Solve for x
    x = 2,125,396,599,876/664,608
  6. Step 6: Final answer
    x = 3,197,970.23

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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.