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Finding the Third Proportional to 451,524 and 980,889

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Solution

The third proportional to 451,524 and 980,889 is: 2,130,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,524 : 980,889 = 980,889 : x
  2. Step 2: Convert to fraction form
    451,524/980,889 = 980,889/x
  3. Step 3: Cross multiply
    451,524x = 980,889 × 980,889
  4. Step 4: Simplify right side
    451,524x = 962,143,230,321
  5. Step 5: Solve for x
    x = 962,143,230,321/451,524
  6. Step 6: Final answer
    x = 2,130,879.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.