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Finding the Third Proportional to 828,765 and 1,246,234.13

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Solution

The third proportional to 828,765 and 1,246,234.13 is: 1,873,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,765 : 1,246,234.13 = 1,246,234.13 : x
  2. Step 2: Convert to fraction form
    828,765/1,246,234.13 = 1,246,234.13/x
  3. Step 3: Cross multiply
    828,765x = 1,246,234.13 × 1,246,234.13
  4. Step 4: Simplify right side
    828,765x = 1,553,099,494,314.52
  5. Step 5: Solve for x
    x = 1,553,099,494,314.52/828,765
  6. Step 6: Final answer
    x = 1,873,992.62

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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.