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Finding the Third Proportional to 2,086,247 and 4,471,910

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Solution

The third proportional to 2,086,247 and 4,471,910 is: 9,585,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,247 : 4,471,910 = 4,471,910 : x
  2. Step 2: Convert to fraction form
    2,086,247/4,471,910 = 4,471,910/x
  3. Step 3: Cross multiply
    2,086,247x = 4,471,910 × 4,471,910
  4. Step 4: Simplify right side
    2,086,247x = 19,997,979,048,100
  5. Step 5: Solve for x
    x = 19,997,979,048,100/2,086,247
  6. Step 6: Final answer
    x = 9,585,623.87

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