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Finding the Third Proportional to 938,840 and 2,027,324

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Solution

The third proportional to 938,840 and 2,027,324 is: 4,377,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,840 : 2,027,324 = 2,027,324 : x
  2. Step 2: Convert to fraction form
    938,840/2,027,324 = 2,027,324/x
  3. Step 3: Cross multiply
    938,840x = 2,027,324 × 2,027,324
  4. Step 4: Simplify right side
    938,840x = 4,110,042,600,976
  5. Step 5: Solve for x
    x = 4,110,042,600,976/938,840
  6. Step 6: Final answer
    x = 4,377,788.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.