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Finding the Third Proportional to 389,869 and 837,754

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Solution

The third proportional to 389,869 and 837,754 is: 1,800,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,869 : 837,754 = 837,754 : x
  2. Step 2: Convert to fraction form
    389,869/837,754 = 837,754/x
  3. Step 3: Cross multiply
    389,869x = 837,754 × 837,754
  4. Step 4: Simplify right side
    389,869x = 701,831,764,516
  5. Step 5: Solve for x
    x = 701,831,764,516/389,869
  6. Step 6: Final answer
    x = 1,800,173.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.