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Finding the Third Proportional to 440,667 and 919,647

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Solution

The third proportional to 440,667 and 919,647 is: 1,919,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,667 : 919,647 = 919,647 : x
  2. Step 2: Convert to fraction form
    440,667/919,647 = 919,647/x
  3. Step 3: Cross multiply
    440,667x = 919,647 × 919,647
  4. Step 4: Simplify right side
    440,667x = 845,750,604,609
  5. Step 5: Solve for x
    x = 845,750,604,609/440,667
  6. Step 6: Final answer
    x = 1,919,251.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.