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Finding the Third Proportional to 950,272 and 2,049,077

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Solution

The third proportional to 950,272 and 2,049,077 is: 4,418,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,272 : 2,049,077 = 2,049,077 : x
  2. Step 2: Convert to fraction form
    950,272/2,049,077 = 2,049,077/x
  3. Step 3: Cross multiply
    950,272x = 2,049,077 × 2,049,077
  4. Step 4: Simplify right side
    950,272x = 4,198,716,551,929
  5. Step 5: Solve for x
    x = 4,198,716,551,929/950,272
  6. Step 6: Final answer
    x = 4,418,436.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.