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Finding the Third Proportional to 4,022,178 and 5,626,233

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Solution

The third proportional to 4,022,178 and 5,626,233 is: 7,869,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,178 : 5,626,233 = 5,626,233 : x
  2. Step 2: Convert to fraction form
    4,022,178/5,626,233 = 5,626,233/x
  3. Step 3: Cross multiply
    4,022,178x = 5,626,233 × 5,626,233
  4. Step 4: Simplify right side
    4,022,178x = 31,654,497,770,289
  5. Step 5: Solve for x
    x = 31,654,497,770,289/4,022,178
  6. Step 6: Final answer
    x = 7,869,989.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.