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Finding the Third Proportional to 694,074 and 1,049,859

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Solution

The third proportional to 694,074 and 1,049,859 is: 1,588,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,074 : 1,049,859 = 1,049,859 : x
  2. Step 2: Convert to fraction form
    694,074/1,049,859 = 1,049,859/x
  3. Step 3: Cross multiply
    694,074x = 1,049,859 × 1,049,859
  4. Step 4: Simplify right side
    694,074x = 1,102,203,919,881
  5. Step 5: Solve for x
    x = 1,102,203,919,881/694,074
  6. Step 6: Final answer
    x = 1,588,020.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.