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Finding the Third Proportional to 446,667 and 967,134

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Solution

The third proportional to 446,667 and 967,134 is: 2,094,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,667 : 967,134 = 967,134 : x
  2. Step 2: Convert to fraction form
    446,667/967,134 = 967,134/x
  3. Step 3: Cross multiply
    446,667x = 967,134 × 967,134
  4. Step 4: Simplify right side
    446,667x = 935,348,173,956
  5. Step 5: Solve for x
    x = 935,348,173,956/446,667
  6. Step 6: Final answer
    x = 2,094,061.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.