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Finding the Third Proportional to 666,696 and 1,059,096

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Solution

The third proportional to 666,696 and 1,059,096 is: 1,682,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,696 : 1,059,096 = 1,059,096 : x
  2. Step 2: Convert to fraction form
    666,696/1,059,096 = 1,059,096/x
  3. Step 3: Cross multiply
    666,696x = 1,059,096 × 1,059,096
  4. Step 4: Simplify right side
    666,696x = 1,121,684,337,216
  5. Step 5: Solve for x
    x = 1,121,684,337,216/666,696
  6. Step 6: Final answer
    x = 1,682,452.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.