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Finding the Third Proportional to 938,970 and 2,027,628

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Solution

The third proportional to 938,970 and 2,027,628 is: 4,378,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,970 : 2,027,628 = 2,027,628 : x
  2. Step 2: Convert to fraction form
    938,970/2,027,628 = 2,027,628/x
  3. Step 3: Cross multiply
    938,970x = 2,027,628 × 2,027,628
  4. Step 4: Simplify right side
    938,970x = 4,111,275,306,384
  5. Step 5: Solve for x
    x = 4,111,275,306,384/938,970
  6. Step 6: Final answer
    x = 4,378,494.85

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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.