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Finding the Third Proportional to 2,116,749 and 3,179,893

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Solution

The third proportional to 2,116,749 and 3,179,893 is: 4,777,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,749 : 3,179,893 = 3,179,893 : x
  2. Step 2: Convert to fraction form
    2,116,749/3,179,893 = 3,179,893/x
  3. Step 3: Cross multiply
    2,116,749x = 3,179,893 × 3,179,893
  4. Step 4: Simplify right side
    2,116,749x = 10,111,719,491,449
  5. Step 5: Solve for x
    x = 10,111,719,491,449/2,116,749
  6. Step 6: Final answer
    x = 4,777,004.50

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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.