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Finding the Third Proportional to 938,902 and 2,027,472

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Solution

The third proportional to 938,902 and 2,027,472 is: 4,378,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,902 : 2,027,472 = 2,027,472 : x
  2. Step 2: Convert to fraction form
    938,902/2,027,472 = 2,027,472/x
  3. Step 3: Cross multiply
    938,902x = 2,027,472 × 2,027,472
  4. Step 4: Simplify right side
    938,902x = 4,110,642,710,784
  5. Step 5: Solve for x
    x = 4,110,642,710,784/938,902
  6. Step 6: Final answer
    x = 4,378,138.20

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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.