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Finding the Third Proportional to 1,135,981.69 and 2,431,573.88

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Solution

The third proportional to 1,135,981.69 and 2,431,573.88 is: 5,204,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,981.69 : 2,431,573.88 = 2,431,573.88 : x
  2. Step 2: Convert to fraction form
    1,135,981.69/2,431,573.88 = 2,431,573.88/x
  3. Step 3: Cross multiply
    1,135,981.69x = 2,431,573.88 × 2,431,573.88
  4. Step 4: Simplify right side
    1,135,981.69x = 5,912,551,509,582.52
  5. Step 5: Solve for x
    x = 5,912,551,509,582.52/1,135,981.69
  6. Step 6: Final answer
    x = 5,204,794.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.