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Finding the Third Proportional to 674,079.75 and 1,467,180

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Solution

The third proportional to 674,079.75 and 1,467,180 is: 3,193,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,079.75 : 1,467,180 = 1,467,180 : x
  2. Step 2: Convert to fraction form
    674,079.75/1,467,180 = 1,467,180/x
  3. Step 3: Cross multiply
    674,079.75x = 1,467,180 × 1,467,180
  4. Step 4: Simplify right side
    674,079.75x = 2,152,617,152,400
  5. Step 5: Solve for x
    x = 2,152,617,152,400/674,079.75
  6. Step 6: Final answer
    x = 3,193,416.14

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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.