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Finding the Third Proportional to 389,647 and 839,486

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Solution

The third proportional to 389,647 and 839,486 is: 1,808,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,647 : 839,486 = 839,486 : x
  2. Step 2: Convert to fraction form
    389,647/839,486 = 839,486/x
  3. Step 3: Cross multiply
    389,647x = 839,486 × 839,486
  4. Step 4: Simplify right side
    389,647x = 704,736,744,196
  5. Step 5: Solve for x
    x = 704,736,744,196/389,647
  6. Step 6: Final answer
    x = 1,808,654.36

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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.