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Finding the Third Proportional to 414,026 and 891,474

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Solution

The third proportional to 414,026 and 891,474 is: 1,919,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,026 : 891,474 = 891,474 : x
  2. Step 2: Convert to fraction form
    414,026/891,474 = 891,474/x
  3. Step 3: Cross multiply
    414,026x = 891,474 × 891,474
  4. Step 4: Simplify right side
    414,026x = 794,725,892,676
  5. Step 5: Solve for x
    x = 794,725,892,676/414,026
  6. Step 6: Final answer
    x = 1,919,507.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.