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Finding the Third Proportional to 3,642,864 and 5,434,770

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Solution

The third proportional to 3,642,864 and 5,434,770 is: 8,108,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642,864 : 5,434,770 = 5,434,770 : x
  2. Step 2: Convert to fraction form
    3,642,864/5,434,770 = 5,434,770/x
  3. Step 3: Cross multiply
    3,642,864x = 5,434,770 × 5,434,770
  4. Step 4: Simplify right side
    3,642,864x = 29,536,724,952,900
  5. Step 5: Solve for x
    x = 29,536,724,952,900/3,642,864
  6. Step 6: Final answer
    x = 8,108,105.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.