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Finding the Third Proportional to 2,116,781 and 3,179,940

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Solution

The third proportional to 2,116,781 and 3,179,940 is: 4,777,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,781 : 3,179,940 = 3,179,940 : x
  2. Step 2: Convert to fraction form
    2,116,781/3,179,940 = 3,179,940/x
  3. Step 3: Cross multiply
    2,116,781x = 3,179,940 × 3,179,940
  4. Step 4: Simplify right side
    2,116,781x = 10,112,018,403,600
  5. Step 5: Solve for x
    x = 10,112,018,403,600/2,116,781
  6. Step 6: Final answer
    x = 4,777,073.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.