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Finding the Third Proportional to 437,928 and 943,400

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Solution

The third proportional to 437,928 and 943,400 is: 2,032,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,928 : 943,400 = 943,400 : x
  2. Step 2: Convert to fraction form
    437,928/943,400 = 943,400/x
  3. Step 3: Cross multiply
    437,928x = 943,400 × 943,400
  4. Step 4: Simplify right side
    437,928x = 890,003,560,000
  5. Step 5: Solve for x
    x = 890,003,560,000/437,928
  6. Step 6: Final answer
    x = 2,032,305.68

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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.