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Finding the Third Proportional to 544,002 and 844,419

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Solution

The third proportional to 544,002 and 844,419 is: 1,310,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,002 : 844,419 = 844,419 : x
  2. Step 2: Convert to fraction form
    544,002/844,419 = 844,419/x
  3. Step 3: Cross multiply
    544,002x = 844,419 × 844,419
  4. Step 4: Simplify right side
    544,002x = 713,043,447,561
  5. Step 5: Solve for x
    x = 713,043,447,561/544,002
  6. Step 6: Final answer
    x = 1,310,736.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.