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Finding the Third Proportional to 1,840,674.50 and 4,299,057

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Solution

The third proportional to 1,840,674.50 and 4,299,057 is: 10,040,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,674.50 : 4,299,057 = 4,299,057 : x
  2. Step 2: Convert to fraction form
    1,840,674.50/4,299,057 = 4,299,057/x
  3. Step 3: Cross multiply
    1,840,674.50x = 4,299,057 × 4,299,057
  4. Step 4: Simplify right side
    1,840,674.50x = 18,481,891,089,249
  5. Step 5: Solve for x
    x = 18,481,891,089,249/1,840,674.50
  6. Step 6: Final answer
    x = 10,040,825.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.