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Finding the Third Proportional to 2,549,024 and 5,561,800

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Solution

The third proportional to 2,549,024 and 5,561,800 is: 12,135,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,024 : 5,561,800 = 5,561,800 : x
  2. Step 2: Convert to fraction form
    2,549,024/5,561,800 = 5,561,800/x
  3. Step 3: Cross multiply
    2,549,024x = 5,561,800 × 5,561,800
  4. Step 4: Simplify right side
    2,549,024x = 30,933,619,240,000
  5. Step 5: Solve for x
    x = 30,933,619,240,000/2,549,024
  6. Step 6: Final answer
    x = 12,135,475.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.