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Finding the Third Proportional to 438,024 and 941,484

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Solution

The third proportional to 438,024 and 941,484 is: 2,023,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,024 : 941,484 = 941,484 : x
  2. Step 2: Convert to fraction form
    438,024/941,484 = 941,484/x
  3. Step 3: Cross multiply
    438,024x = 941,484 × 941,484
  4. Step 4: Simplify right side
    438,024x = 886,392,122,256
  5. Step 5: Solve for x
    x = 886,392,122,256/438,024
  6. Step 6: Final answer
    x = 2,023,615.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.