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Finding the Third Proportional to 619,219.69 and 872,007.19

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Solution

The third proportional to 619,219.69 and 872,007.19 is: 1,227,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,219.69 : 872,007.19 = 872,007.19 : x
  2. Step 2: Convert to fraction form
    619,219.69/872,007.19 = 872,007.19/x
  3. Step 3: Cross multiply
    619,219.69x = 872,007.19 × 872,007.19
  4. Step 4: Simplify right side
    619,219.69x = 760,396,535,051.66
  5. Step 5: Solve for x
    x = 760,396,535,051.66/619,219.69
  6. Step 6: Final answer
    x = 1,227,991.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.