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Finding the Third Proportional to 682,154 and 954,183

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Solution

The third proportional to 682,154 and 954,183 is: 1,334,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,154 : 954,183 = 954,183 : x
  2. Step 2: Convert to fraction form
    682,154/954,183 = 954,183/x
  3. Step 3: Cross multiply
    682,154x = 954,183 × 954,183
  4. Step 4: Simplify right side
    682,154x = 910,465,197,489
  5. Step 5: Solve for x
    x = 910,465,197,489/682,154
  6. Step 6: Final answer
    x = 1,334,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.