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Finding the Third Proportional to 664,686 and 1,031,166

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Solution

The third proportional to 664,686 and 1,031,166 is: 1,599,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,686 : 1,031,166 = 1,031,166 : x
  2. Step 2: Convert to fraction form
    664,686/1,031,166 = 1,031,166/x
  3. Step 3: Cross multiply
    664,686x = 1,031,166 × 1,031,166
  4. Step 4: Simplify right side
    664,686x = 1,063,303,319,556
  5. Step 5: Solve for x
    x = 1,063,303,319,556/664,686
  6. Step 6: Final answer
    x = 1,599,707.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.