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Finding the Third Proportional to 389,616 and 839,416

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Solution

The third proportional to 389,616 and 839,416 is: 1,808,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616 : 839,416 = 839,416 : x
  2. Step 2: Convert to fraction form
    389,616/839,416 = 839,416/x
  3. Step 3: Cross multiply
    389,616x = 839,416 × 839,416
  4. Step 4: Simplify right side
    389,616x = 704,619,221,056
  5. Step 5: Solve for x
    x = 704,619,221,056/389,616
  6. Step 6: Final answer
    x = 1,808,496.63

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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.