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Finding the Third Proportional to 2,431,422 and 5,290,947

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Solution

The third proportional to 2,431,422 and 5,290,947 is: 11,513,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,422 : 5,290,947 = 5,290,947 : x
  2. Step 2: Convert to fraction form
    2,431,422/5,290,947 = 5,290,947/x
  3. Step 3: Cross multiply
    2,431,422x = 5,290,947 × 5,290,947
  4. Step 4: Simplify right side
    2,431,422x = 27,994,120,156,809
  5. Step 5: Solve for x
    x = 27,994,120,156,809/2,431,422
  6. Step 6: Final answer
    x = 11,513,476.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.