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Finding the Third Proportional to 619,192.69 and 947,256.19

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Solution

The third proportional to 619,192.69 and 947,256.19 is: 1,449,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,192.69 : 947,256.19 = 947,256.19 : x
  2. Step 2: Convert to fraction form
    619,192.69/947,256.19 = 947,256.19/x
  3. Step 3: Cross multiply
    619,192.69x = 947,256.19 × 947,256.19
  4. Step 4: Simplify right side
    619,192.69x = 897,294,284,757.04
  5. Step 5: Solve for x
    x = 897,294,284,757.04/619,192.69
  6. Step 6: Final answer
    x = 1,449,135.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.