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Finding the Third Proportional to 601,408 and 1,398,400

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Solution

The third proportional to 601,408 and 1,398,400 is: 3,251,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,408 : 1,398,400 = 1,398,400 : x
  2. Step 2: Convert to fraction form
    601,408/1,398,400 = 1,398,400/x
  3. Step 3: Cross multiply
    601,408x = 1,398,400 × 1,398,400
  4. Step 4: Simplify right side
    601,408x = 1,955,522,560,000
  5. Step 5: Solve for x
    x = 1,955,522,560,000/601,408
  6. Step 6: Final answer
    x = 3,251,573.91

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.