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Finding the Third Proportional to 525,981.09 and 1,150,377.19

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Solution

The third proportional to 525,981.09 and 1,150,377.19 is: 2,515,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,981.09 : 1,150,377.19 = 1,150,377.19 : x
  2. Step 2: Convert to fraction form
    525,981.09/1,150,377.19 = 1,150,377.19/x
  3. Step 3: Cross multiply
    525,981.09x = 1,150,377.19 × 1,150,377.19
  4. Step 4: Simplify right side
    525,981.09x = 1,323,367,673,520.41
  5. Step 5: Solve for x
    x = 1,323,367,673,520.41/525,981.09
  6. Step 6: Final answer
    x = 2,515,998.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.