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Finding the Third Proportional to 2,954,132 and 6,412,438

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Solution

The third proportional to 2,954,132 and 6,412,438 is: 13,919,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,132 : 6,412,438 = 6,412,438 : x
  2. Step 2: Convert to fraction form
    2,954,132/6,412,438 = 6,412,438/x
  3. Step 3: Cross multiply
    2,954,132x = 6,412,438 × 6,412,438
  4. Step 4: Simplify right side
    2,954,132x = 41,119,361,103,844
  5. Step 5: Solve for x
    x = 41,119,361,103,844/2,954,132
  6. Step 6: Final answer
    x = 13,919,270.06

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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.