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Finding the Third Proportional to 3,490,965.84 and 5,419,131.61

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Solution

The third proportional to 3,490,965.84 and 5,419,131.61 is: 8,412,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490,965.84 : 5,419,131.61 = 5,419,131.61 : x
  2. Step 2: Convert to fraction form
    3,490,965.84/5,419,131.61 = 5,419,131.61/x
  3. Step 3: Cross multiply
    3,490,965.84x = 5,419,131.61 × 5,419,131.61
  4. Step 4: Simplify right side
    3,490,965.84x = 29,366,987,399,727.28
  5. Step 5: Solve for x
    x = 29,366,987,399,727.28/3,490,965.84
  6. Step 6: Final answer
    x = 8,412,281.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.