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Finding the Third Proportional to 857,108 and 1,268,166

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Solution

The third proportional to 857,108 and 1,268,166 is: 1,876,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,108 : 1,268,166 = 1,268,166 : x
  2. Step 2: Convert to fraction form
    857,108/1,268,166 = 1,268,166/x
  3. Step 3: Cross multiply
    857,108x = 1,268,166 × 1,268,166
  4. Step 4: Simplify right side
    857,108x = 1,608,245,003,556
  5. Step 5: Solve for x
    x = 1,608,245,003,556/857,108
  6. Step 6: Final answer
    x = 1,876,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.