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Finding the Third Proportional to 389,812 and 839,780

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Solution

The third proportional to 389,812 and 839,780 is: 1,809,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,812 : 839,780 = 839,780 : x
  2. Step 2: Convert to fraction form
    389,812/839,780 = 839,780/x
  3. Step 3: Cross multiply
    389,812x = 839,780 × 839,780
  4. Step 4: Simplify right side
    389,812x = 705,230,448,400
  5. Step 5: Solve for x
    x = 705,230,448,400/389,812
  6. Step 6: Final answer
    x = 1,809,155.31

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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.