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Finding the Third Proportional to 500,882 and 1,080,676

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Solution

The third proportional to 500,882 and 1,080,676 is: 2,331,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,882 : 1,080,676 = 1,080,676 : x
  2. Step 2: Convert to fraction form
    500,882/1,080,676 = 1,080,676/x
  3. Step 3: Cross multiply
    500,882x = 1,080,676 × 1,080,676
  4. Step 4: Simplify right side
    500,882x = 1,167,860,616,976
  5. Step 5: Solve for x
    x = 1,167,860,616,976/500,882
  6. Step 6: Final answer
    x = 2,331,608.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.