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Finding the Third Proportional to 1,171,719 and 1,770,147

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Solution

The third proportional to 1,171,719 and 1,770,147 is: 2,674,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,719 : 1,770,147 = 1,770,147 : x
  2. Step 2: Convert to fraction form
    1,171,719/1,770,147 = 1,770,147/x
  3. Step 3: Cross multiply
    1,171,719x = 1,770,147 × 1,770,147
  4. Step 4: Simplify right side
    1,171,719x = 3,133,420,401,609
  5. Step 5: Solve for x
    x = 3,133,420,401,609/1,171,719
  6. Step 6: Final answer
    x = 2,674,208.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.