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Finding the Third Proportional to 516,834 and 1,096,200

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Solution

The third proportional to 516,834 and 1,096,200 is: 2,325,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,834 : 1,096,200 = 1,096,200 : x
  2. Step 2: Convert to fraction form
    516,834/1,096,200 = 1,096,200/x
  3. Step 3: Cross multiply
    516,834x = 1,096,200 × 1,096,200
  4. Step 4: Simplify right side
    516,834x = 1,201,654,440,000
  5. Step 5: Solve for x
    x = 1,201,654,440,000/516,834
  6. Step 6: Final answer
    x = 2,325,029.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.