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Finding the Third Proportional to 464,962 and 985,722

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Solution

The third proportional to 464,962 and 985,722 is: 2,089,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,962 : 985,722 = 985,722 : x
  2. Step 2: Convert to fraction form
    464,962/985,722 = 985,722/x
  3. Step 3: Cross multiply
    464,962x = 985,722 × 985,722
  4. Step 4: Simplify right side
    464,962x = 971,647,861,284
  5. Step 5: Solve for x
    x = 971,647,861,284/464,962
  6. Step 6: Final answer
    x = 2,089,736.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.