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Finding the Third Proportional to 828,769.22 and 1,246,240.69

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Solution

The third proportional to 828,769.22 and 1,246,240.69 is: 1,874,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,769.22 : 1,246,240.69 = 1,246,240.69 : x
  2. Step 2: Convert to fraction form
    828,769.22/1,246,240.69 = 1,246,240.69/x
  3. Step 3: Cross multiply
    828,769.22x = 1,246,240.69 × 1,246,240.69
  4. Step 4: Simplify right side
    828,769.22x = 1,553,115,851,180.47
  5. Step 5: Solve for x
    x = 1,553,115,851,180.47/828,769.22
  6. Step 6: Final answer
    x = 1,874,002.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.