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Finding the Third Proportional to 619,233.75 and 1,280,945.53

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Solution

The third proportional to 619,233.75 and 1,280,945.53 is: 2,649,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,233.75 : 1,280,945.53 = 1,280,945.53 : x
  2. Step 2: Convert to fraction form
    619,233.75/1,280,945.53 = 1,280,945.53/x
  3. Step 3: Cross multiply
    619,233.75x = 1,280,945.53 × 1,280,945.53
  4. Step 4: Simplify right side
    619,233.75x = 1,640,821,454,029.34
  5. Step 5: Solve for x
    x = 1,640,821,454,029.34/619,233.75
  6. Step 6: Final answer
    x = 2,649,761.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.