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Finding the Third Proportional to 385,519 and 835,394

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Solution

The third proportional to 385,519 and 835,394 is: 1,810,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,519 : 835,394 = 835,394 : x
  2. Step 2: Convert to fraction form
    385,519/835,394 = 835,394/x
  3. Step 3: Cross multiply
    385,519x = 835,394 × 835,394
  4. Step 4: Simplify right side
    385,519x = 697,883,135,236
  5. Step 5: Solve for x
    x = 697,883,135,236/385,519
  6. Step 6: Final answer
    x = 1,810,243.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.