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Finding the Third Proportional to 438,910 and 943,296

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Solution

The third proportional to 438,910 and 943,296 is: 2,027,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,910 : 943,296 = 943,296 : x
  2. Step 2: Convert to fraction form
    438,910/943,296 = 943,296/x
  3. Step 3: Cross multiply
    438,910x = 943,296 × 943,296
  4. Step 4: Simplify right side
    438,910x = 889,807,343,616
  5. Step 5: Solve for x
    x = 889,807,343,616/438,910
  6. Step 6: Final answer
    x = 2,027,311.62

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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.