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Finding the Third Proportional to 441,318 and 944,844

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Solution

The third proportional to 441,318 and 944,844 is: 2,022,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,318 : 944,844 = 944,844 : x
  2. Step 2: Convert to fraction form
    441,318/944,844 = 944,844/x
  3. Step 3: Cross multiply
    441,318x = 944,844 × 944,844
  4. Step 4: Simplify right side
    441,318x = 892,730,184,336
  5. Step 5: Solve for x
    x = 892,730,184,336/441,318
  6. Step 6: Final answer
    x = 2,022,872.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.