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Finding the Third Proportional to 491,668 and 1,072,328

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Solution

The third proportional to 491,668 and 1,072,328 is: 2,338,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,668 : 1,072,328 = 1,072,328 : x
  2. Step 2: Convert to fraction form
    491,668/1,072,328 = 1,072,328/x
  3. Step 3: Cross multiply
    491,668x = 1,072,328 × 1,072,328
  4. Step 4: Simplify right side
    491,668x = 1,149,887,339,584
  5. Step 5: Solve for x
    x = 1,149,887,339,584/491,668
  6. Step 6: Final answer
    x = 2,338,747.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.