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Finding the Third Proportional to 462,279 and 994,542

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Solution

The third proportional to 462,279 and 994,542 is: 2,139,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,279 : 994,542 = 994,542 : x
  2. Step 2: Convert to fraction form
    462,279/994,542 = 994,542/x
  3. Step 3: Cross multiply
    462,279x = 994,542 × 994,542
  4. Step 4: Simplify right side
    462,279x = 989,113,789,764
  5. Step 5: Solve for x
    x = 989,113,789,764/462,279
  6. Step 6: Final answer
    x = 2,139,646.81

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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.