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Finding the Third Proportional to 1,526,021.44 and 2,034,289.69

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Solution

The third proportional to 1,526,021.44 and 2,034,289.69 is: 2,711,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,021.44 : 2,034,289.69 = 2,034,289.69 : x
  2. Step 2: Convert to fraction form
    1,526,021.44/2,034,289.69 = 2,034,289.69/x
  3. Step 3: Cross multiply
    1,526,021.44x = 2,034,289.69 × 2,034,289.69
  4. Step 4: Simplify right side
    1,526,021.44x = 4,138,334,532,668.85
  5. Step 5: Solve for x
    x = 4,138,334,532,668.85/1,526,021.44
  6. Step 6: Final answer
    x = 2,711,845.61

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.