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Finding the Third Proportional to 619,233.47 and 1,280,944.69

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Solution

The third proportional to 619,233.47 and 1,280,944.69 is: 2,649,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,233.47 : 1,280,944.69 = 1,280,944.69 : x
  2. Step 2: Convert to fraction form
    619,233.47/1,280,944.69 = 1,280,944.69/x
  3. Step 3: Cross multiply
    619,233.47x = 1,280,944.69 × 1,280,944.69
  4. Step 4: Simplify right side
    619,233.47x = 1,640,819,292,434.47
  5. Step 5: Solve for x
    x = 1,640,819,292,434.47/619,233.47
  6. Step 6: Final answer
    x = 2,649,758.73

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