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Finding the Third Proportional to 2,173,299 and 4,719,981

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Solution

The third proportional to 2,173,299 and 4,719,981 is: 10,250,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,299 : 4,719,981 = 4,719,981 : x
  2. Step 2: Convert to fraction form
    2,173,299/4,719,981 = 4,719,981/x
  3. Step 3: Cross multiply
    2,173,299x = 4,719,981 × 4,719,981
  4. Step 4: Simplify right side
    2,173,299x = 22,278,220,640,361
  5. Step 5: Solve for x
    x = 22,278,220,640,361/2,173,299
  6. Step 6: Final answer
    x = 10,250,876.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.