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Finding the Third Proportional to 497,992 and 1,151,668

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Solution

The third proportional to 497,992 and 1,151,668 is: 2,663,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,992 : 1,151,668 = 1,151,668 : x
  2. Step 2: Convert to fraction form
    497,992/1,151,668 = 1,151,668/x
  3. Step 3: Cross multiply
    497,992x = 1,151,668 × 1,151,668
  4. Step 4: Simplify right side
    497,992x = 1,326,339,182,224
  5. Step 5: Solve for x
    x = 1,326,339,182,224/497,992
  6. Step 6: Final answer
    x = 2,663,374.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.