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Finding the Third Proportional to 412,966.13 and 848,170.13

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Solution

The third proportional to 412,966.13 and 848,170.13 is: 1,742,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,966.13 : 848,170.13 = 848,170.13 : x
  2. Step 2: Convert to fraction form
    412,966.13/848,170.13 = 848,170.13/x
  3. Step 3: Cross multiply
    412,966.13x = 848,170.13 × 848,170.13
  4. Step 4: Simplify right side
    412,966.13x = 719,392,560,942.52
  5. Step 5: Solve for x
    x = 719,392,560,942.52/412,966.13
  6. Step 6: Final answer
    x = 1,742,013.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.