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Finding the Third Proportional to 442,936 and 944,928

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Solution

The third proportional to 442,936 and 944,928 is: 2,015,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,936 : 944,928 = 944,928 : x
  2. Step 2: Convert to fraction form
    442,936/944,928 = 944,928/x
  3. Step 3: Cross multiply
    442,936x = 944,928 × 944,928
  4. Step 4: Simplify right side
    442,936x = 892,888,925,184
  5. Step 5: Solve for x
    x = 892,888,925,184/442,936
  6. Step 6: Final answer
    x = 2,015,841.85

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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.