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Finding the Third Proportional to 916,263 and 1,857,150

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Solution

The third proportional to 916,263 and 1,857,150 is: 3,764,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,263 : 1,857,150 = 1,857,150 : x
  2. Step 2: Convert to fraction form
    916,263/1,857,150 = 1,857,150/x
  3. Step 3: Cross multiply
    916,263x = 1,857,150 × 1,857,150
  4. Step 4: Simplify right side
    916,263x = 3,449,006,122,500
  5. Step 5: Solve for x
    x = 3,449,006,122,500/916,263
  6. Step 6: Final answer
    x = 3,764,209.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.