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Finding the Third Proportional to 396,054 and 934,020

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Solution

The third proportional to 396,054 and 934,020 is: 2,202,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,054 : 934,020 = 934,020 : x
  2. Step 2: Convert to fraction form
    396,054/934,020 = 934,020/x
  3. Step 3: Cross multiply
    396,054x = 934,020 × 934,020
  4. Step 4: Simplify right side
    396,054x = 872,393,360,400
  5. Step 5: Solve for x
    x = 872,393,360,400/396,054
  6. Step 6: Final answer
    x = 2,202,713.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.