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Finding the Third Proportional to 694,350 and 1,082,124

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Solution

The third proportional to 694,350 and 1,082,124 is: 1,686,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,350 : 1,082,124 = 1,082,124 : x
  2. Step 2: Convert to fraction form
    694,350/1,082,124 = 1,082,124/x
  3. Step 3: Cross multiply
    694,350x = 1,082,124 × 1,082,124
  4. Step 4: Simplify right side
    694,350x = 1,170,992,351,376
  5. Step 5: Solve for x
    x = 1,170,992,351,376/694,350
  6. Step 6: Final answer
    x = 1,686,458.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.