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Finding the Third Proportional to 665,310 and 1,425,876

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Solution

The third proportional to 665,310 and 1,425,876 is: 3,055,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,310 : 1,425,876 = 1,425,876 : x
  2. Step 2: Convert to fraction form
    665,310/1,425,876 = 1,425,876/x
  3. Step 3: Cross multiply
    665,310x = 1,425,876 × 1,425,876
  4. Step 4: Simplify right side
    665,310x = 2,033,122,367,376
  5. Step 5: Solve for x
    x = 2,033,122,367,376/665,310
  6. Step 6: Final answer
    x = 3,055,902.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.