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Finding the Third Proportional to 411,197 and 876,682

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Solution

The third proportional to 411,197 and 876,682 is: 1,869,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,197 : 876,682 = 876,682 : x
  2. Step 2: Convert to fraction form
    411,197/876,682 = 876,682/x
  3. Step 3: Cross multiply
    411,197x = 876,682 × 876,682
  4. Step 4: Simplify right side
    411,197x = 768,571,329,124
  5. Step 5: Solve for x
    x = 768,571,329,124/411,197
  6. Step 6: Final answer
    x = 1,869,107.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.