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Finding the Third Proportional to 412,855.88 and 836,803.13

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Solution

The third proportional to 412,855.88 and 836,803.13 is: 1,696,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,855.88 : 836,803.13 = 836,803.13 : x
  2. Step 2: Convert to fraction form
    412,855.88/836,803.13 = 836,803.13/x
  3. Step 3: Cross multiply
    412,855.88x = 836,803.13 × 836,803.13
  4. Step 4: Simplify right side
    412,855.88x = 700,239,470,009.77
  5. Step 5: Solve for x
    x = 700,239,470,009.77/412,855.88
  6. Step 6: Final answer
    x = 1,696,086.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.