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Finding the Third Proportional to 2,241,625 and 4,642,757

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Solution

The third proportional to 2,241,625 and 4,642,757 is: 9,615,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,625 : 4,642,757 = 4,642,757 : x
  2. Step 2: Convert to fraction form
    2,241,625/4,642,757 = 4,642,757/x
  3. Step 3: Cross multiply
    2,241,625x = 4,642,757 × 4,642,757
  4. Step 4: Simplify right side
    2,241,625x = 21,555,192,561,049
  5. Step 5: Solve for x
    x = 21,555,192,561,049/2,241,625
  6. Step 6: Final answer
    x = 9,615,878.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.