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Finding the Third Proportional to 393,148 and 837,812

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Solution

The third proportional to 393,148 and 837,812 is: 1,785,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,148 : 837,812 = 837,812 : x
  2. Step 2: Convert to fraction form
    393,148/837,812 = 837,812/x
  3. Step 3: Cross multiply
    393,148x = 837,812 × 837,812
  4. Step 4: Simplify right side
    393,148x = 701,928,947,344
  5. Step 5: Solve for x
    x = 701,928,947,344/393,148
  6. Step 6: Final answer
    x = 1,785,406.38

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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.