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Finding the Third Proportional to 451,253 and 980,314

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Solution

The third proportional to 451,253 and 980,314 is: 2,129,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,253 : 980,314 = 980,314 : x
  2. Step 2: Convert to fraction form
    451,253/980,314 = 980,314/x
  3. Step 3: Cross multiply
    451,253x = 980,314 × 980,314
  4. Step 4: Simplify right side
    451,253x = 961,015,538,596
  5. Step 5: Solve for x
    x = 961,015,538,596/451,253
  6. Step 6: Final answer
    x = 2,129,660.17

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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.