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Finding the Third Proportional to 674,046.75 and 1,467,122.25

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Solution

The third proportional to 674,046.75 and 1,467,122.25 is: 3,193,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,046.75 : 1,467,122.25 = 1,467,122.25 : x
  2. Step 2: Convert to fraction form
    674,046.75/1,467,122.25 = 1,467,122.25/x
  3. Step 3: Cross multiply
    674,046.75x = 1,467,122.25 × 1,467,122.25
  4. Step 4: Simplify right side
    674,046.75x = 2,152,447,696,445.06
  5. Step 5: Solve for x
    x = 2,152,447,696,445.06/674,046.75
  6. Step 6: Final answer
    x = 3,193,321.08

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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.