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Finding the Third Proportional to 619,336.13 and 947,516.48

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Solution

The third proportional to 619,336.13 and 947,516.48 is: 1,449,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,336.13 : 947,516.48 = 947,516.48 : x
  2. Step 2: Convert to fraction form
    619,336.13/947,516.48 = 947,516.48/x
  3. Step 3: Cross multiply
    619,336.13x = 947,516.48 × 947,516.48
  4. Step 4: Simplify right side
    619,336.13x = 897,787,488,162.36
  5. Step 5: Solve for x
    x = 897,787,488,162.36/619,336.13
  6. Step 6: Final answer
    x = 1,449,596.51

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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.