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Finding the Third Proportional to 621,444 and 1,324,232

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Solution

The third proportional to 621,444 and 1,324,232 is: 2,821,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,444 : 1,324,232 = 1,324,232 : x
  2. Step 2: Convert to fraction form
    621,444/1,324,232 = 1,324,232/x
  3. Step 3: Cross multiply
    621,444x = 1,324,232 × 1,324,232
  4. Step 4: Simplify right side
    621,444x = 1,753,590,389,824
  5. Step 5: Solve for x
    x = 1,753,590,389,824/621,444
  6. Step 6: Final answer
    x = 2,821,799.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.