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Finding the Third Proportional to 2,064,174.75 and 3,188,299.50

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Solution

The third proportional to 2,064,174.75 and 3,188,299.50 is: 4,924,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,174.75 : 3,188,299.50 = 3,188,299.50 : x
  2. Step 2: Convert to fraction form
    2,064,174.75/3,188,299.50 = 3,188,299.50/x
  3. Step 3: Cross multiply
    2,064,174.75x = 3,188,299.50 × 3,188,299.50
  4. Step 4: Simplify right side
    2,064,174.75x = 10,165,253,701,700.25
  5. Step 5: Solve for x
    x = 10,165,253,701,700.25/2,064,174.75
  6. Step 6: Final answer
    x = 4,924,609.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.