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Finding the Third Proportional to 378,742 and 828,744

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Solution

The third proportional to 378,742 and 828,744 is: 1,813,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,742 : 828,744 = 828,744 : x
  2. Step 2: Convert to fraction form
    378,742/828,744 = 828,744/x
  3. Step 3: Cross multiply
    378,742x = 828,744 × 828,744
  4. Step 4: Simplify right side
    378,742x = 686,816,617,536
  5. Step 5: Solve for x
    x = 686,816,617,536/378,742
  6. Step 6: Final answer
    x = 1,813,415.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.