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Finding the Third Proportional to 946,337 and 2,052,394

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Solution

The third proportional to 946,337 and 2,052,394 is: 4,451,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,337 : 2,052,394 = 2,052,394 : x
  2. Step 2: Convert to fraction form
    946,337/2,052,394 = 2,052,394/x
  3. Step 3: Cross multiply
    946,337x = 2,052,394 × 2,052,394
  4. Step 4: Simplify right side
    946,337x = 4,212,321,131,236
  5. Step 5: Solve for x
    x = 4,212,321,131,236/946,337
  6. Step 6: Final answer
    x = 4,451,185.08

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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.