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Finding the Third Proportional to 733,992 and 1,072,668

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Solution

The third proportional to 733,992 and 1,072,668 is: 1,567,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,992 : 1,072,668 = 1,072,668 : x
  2. Step 2: Convert to fraction form
    733,992/1,072,668 = 1,072,668/x
  3. Step 3: Cross multiply
    733,992x = 1,072,668 × 1,072,668
  4. Step 4: Simplify right side
    733,992x = 1,150,616,638,224
  5. Step 5: Solve for x
    x = 1,150,616,638,224/733,992
  6. Step 6: Final answer
    x = 1,567,614.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.