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Finding the Third Proportional to 437,892 and 943,311

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Solution

The third proportional to 437,892 and 943,311 is: 2,032,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,892 : 943,311 = 943,311 : x
  2. Step 2: Convert to fraction form
    437,892/943,311 = 943,311/x
  3. Step 3: Cross multiply
    437,892x = 943,311 × 943,311
  4. Step 4: Simplify right side
    437,892x = 889,835,642,721
  5. Step 5: Solve for x
    x = 889,835,642,721/437,892
  6. Step 6: Final answer
    x = 2,032,089.29

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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.