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Finding the Third Proportional to 674,057 and 1,467,142

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Solution

The third proportional to 674,057 and 1,467,142 is: 3,193,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,057 : 1,467,142 = 1,467,142 : x
  2. Step 2: Convert to fraction form
    674,057/1,467,142 = 1,467,142/x
  3. Step 3: Cross multiply
    674,057x = 1,467,142 × 1,467,142
  4. Step 4: Simplify right side
    674,057x = 2,152,505,648,164
  5. Step 5: Solve for x
    x = 2,152,505,648,164/674,057
  6. Step 6: Final answer
    x = 3,193,358.50

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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.