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Finding the Third Proportional to 517,031 and 1,093,675

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Solution

The third proportional to 517,031 and 1,093,675 is: 2,313,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,031 : 1,093,675 = 1,093,675 : x
  2. Step 2: Convert to fraction form
    517,031/1,093,675 = 1,093,675/x
  3. Step 3: Cross multiply
    517,031x = 1,093,675 × 1,093,675
  4. Step 4: Simplify right side
    517,031x = 1,196,125,005,625
  5. Step 5: Solve for x
    x = 1,196,125,005,625/517,031
  6. Step 6: Final answer
    x = 2,313,449.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.