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Finding the Third Proportional to 389,648 and 839,488

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Solution

The third proportional to 389,648 and 839,488 is: 1,808,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,648 : 839,488 = 839,488 : x
  2. Step 2: Convert to fraction form
    389,648/839,488 = 839,488/x
  3. Step 3: Cross multiply
    389,648x = 839,488 × 839,488
  4. Step 4: Simplify right side
    389,648x = 704,740,102,144
  5. Step 5: Solve for x
    x = 704,740,102,144/389,648
  6. Step 6: Final answer
    x = 1,808,658.33

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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.