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Finding the Third Proportional to 619,219.69 and 947,296.69

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Solution

The third proportional to 619,219.69 and 947,296.69 is: 1,449,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,219.69 : 947,296.69 = 947,296.69 : x
  2. Step 2: Convert to fraction form
    619,219.69/947,296.69 = 947,296.69/x
  3. Step 3: Cross multiply
    619,219.69x = 947,296.69 × 947,296.69
  4. Step 4: Simplify right side
    619,219.69x = 897,371,014,148.47
  5. Step 5: Solve for x
    x = 897,371,014,148.47/619,219.69
  6. Step 6: Final answer
    x = 1,449,196.52

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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.