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Finding the Third Proportional to 412,134 and 878,706

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Solution

The third proportional to 412,134 and 878,706 is: 1,873,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,134 : 878,706 = 878,706 : x
  2. Step 2: Convert to fraction form
    412,134/878,706 = 878,706/x
  3. Step 3: Cross multiply
    412,134x = 878,706 × 878,706
  4. Step 4: Simplify right side
    412,134x = 772,124,234,436
  5. Step 5: Solve for x
    x = 772,124,234,436/412,134
  6. Step 6: Final answer
    x = 1,873,478.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.