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Finding the Third Proportional to 694,078 and 1,049,864

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Solution

The third proportional to 694,078 and 1,049,864 is: 1,588,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,078 : 1,049,864 = 1,049,864 : x
  2. Step 2: Convert to fraction form
    694,078/1,049,864 = 1,049,864/x
  3. Step 3: Cross multiply
    694,078x = 1,049,864 × 1,049,864
  4. Step 4: Simplify right side
    694,078x = 1,102,214,418,496
  5. Step 5: Solve for x
    x = 1,102,214,418,496/694,078
  6. Step 6: Final answer
    x = 1,588,026.73

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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.