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Finding the Third Proportional to 438,578 and 944,831

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Solution

The third proportional to 438,578 and 944,831 is: 2,035,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,578 : 944,831 = 944,831 : x
  2. Step 2: Convert to fraction form
    438,578/944,831 = 944,831/x
  3. Step 3: Cross multiply
    438,578x = 944,831 × 944,831
  4. Step 4: Simplify right side
    438,578x = 892,705,618,561
  5. Step 5: Solve for x
    x = 892,705,618,561/438,578
  6. Step 6: Final answer
    x = 2,035,454.63

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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.