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Finding the Third Proportional to 694,118 and 1,049,919

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Solution

The third proportional to 694,118 and 1,049,919 is: 1,588,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,118 : 1,049,919 = 1,049,919 : x
  2. Step 2: Convert to fraction form
    694,118/1,049,919 = 1,049,919/x
  3. Step 3: Cross multiply
    694,118x = 1,049,919 × 1,049,919
  4. Step 4: Simplify right side
    694,118x = 1,102,329,906,561
  5. Step 5: Solve for x
    x = 1,102,329,906,561/694,118
  6. Step 6: Final answer
    x = 1,588,101.60

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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.