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Finding the Third Proportional to 442,928 and 944,912

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Solution

The third proportional to 442,928 and 944,912 is: 2,015,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,928 : 944,912 = 944,912 : x
  2. Step 2: Convert to fraction form
    442,928/944,912 = 944,912/x
  3. Step 3: Cross multiply
    442,928x = 944,912 × 944,912
  4. Step 4: Simplify right side
    442,928x = 892,858,687,744
  5. Step 5: Solve for x
    x = 892,858,687,744/442,928
  6. Step 6: Final answer
    x = 2,015,809.99

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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.