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Finding the Third Proportional to 2,563,982 and 5,471,203

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Solution

The third proportional to 2,563,982 and 5,471,203 is: 11,674,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,982 : 5,471,203 = 5,471,203 : x
  2. Step 2: Convert to fraction form
    2,563,982/5,471,203 = 5,471,203/x
  3. Step 3: Cross multiply
    2,563,982x = 5,471,203 × 5,471,203
  4. Step 4: Simplify right side
    2,563,982x = 29,934,062,267,209
  5. Step 5: Solve for x
    x = 29,934,062,267,209/2,563,982
  6. Step 6: Final answer
    x = 11,674,833.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.