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Finding the Third Proportional to 445,344 and 970,608

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Solution

The third proportional to 445,344 and 970,608 is: 2,115,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,344 : 970,608 = 970,608 : x
  2. Step 2: Convert to fraction form
    445,344/970,608 = 970,608/x
  3. Step 3: Cross multiply
    445,344x = 970,608 × 970,608
  4. Step 4: Simplify right side
    445,344x = 942,079,889,664
  5. Step 5: Solve for x
    x = 942,079,889,664/445,344
  6. Step 6: Final answer
    x = 2,115,398.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.