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Finding the Third Proportional to 444,726 and 980,172

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Solution

The third proportional to 444,726 and 980,172 is: 2,160,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,726 : 980,172 = 980,172 : x
  2. Step 2: Convert to fraction form
    444,726/980,172 = 980,172/x
  3. Step 3: Cross multiply
    444,726x = 980,172 × 980,172
  4. Step 4: Simplify right side
    444,726x = 960,737,149,584
  5. Step 5: Solve for x
    x = 960,737,149,584/444,726
  6. Step 6: Final answer
    x = 2,160,290.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.