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Finding the Third Proportional to 696,879 and 1,431,277

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Solution

The third proportional to 696,879 and 1,431,277 is: 2,939,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,879 : 1,431,277 = 1,431,277 : x
  2. Step 2: Convert to fraction form
    696,879/1,431,277 = 1,431,277/x
  3. Step 3: Cross multiply
    696,879x = 1,431,277 × 1,431,277
  4. Step 4: Simplify right side
    696,879x = 2,048,553,850,729
  5. Step 5: Solve for x
    x = 2,048,553,850,729/696,879
  6. Step 6: Final answer
    x = 2,939,611.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.