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Finding the Third Proportional to 568,092 and 1,214,917.50

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Solution

The third proportional to 568,092 and 1,214,917.50 is: 2,598,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,092 : 1,214,917.50 = 1,214,917.50 : x
  2. Step 2: Convert to fraction form
    568,092/1,214,917.50 = 1,214,917.50/x
  3. Step 3: Cross multiply
    568,092x = 1,214,917.50 × 1,214,917.50
  4. Step 4: Simplify right side
    568,092x = 1,476,024,531,806.25
  5. Step 5: Solve for x
    x = 1,476,024,531,806.25/568,092
  6. Step 6: Final answer
    x = 2,598,213.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.