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Finding the Third Proportional to 465,086 and 985,514

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Solution

The third proportional to 465,086 and 985,514 is: 2,088,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,086 : 985,514 = 985,514 : x
  2. Step 2: Convert to fraction form
    465,086/985,514 = 985,514/x
  3. Step 3: Cross multiply
    465,086x = 985,514 × 985,514
  4. Step 4: Simplify right side
    465,086x = 971,237,844,196
  5. Step 5: Solve for x
    x = 971,237,844,196/465,086
  6. Step 6: Final answer
    x = 2,088,297.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.