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Finding the Third Proportional to 674,066 and 1,467,162

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Solution

The third proportional to 674,066 and 1,467,162 is: 3,193,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,066 : 1,467,162 = 1,467,162 : x
  2. Step 2: Convert to fraction form
    674,066/1,467,162 = 1,467,162/x
  3. Step 3: Cross multiply
    674,066x = 1,467,162 × 1,467,162
  4. Step 4: Simplify right side
    674,066x = 2,152,564,334,244
  5. Step 5: Solve for x
    x = 2,152,564,334,244/674,066
  6. Step 6: Final answer
    x = 3,193,402.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.