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Finding the Third Proportional to 444,511 and 960,101

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Solution

The third proportional to 444,511 and 960,101 is: 2,073,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,511 : 960,101 = 960,101 : x
  2. Step 2: Convert to fraction form
    444,511/960,101 = 960,101/x
  3. Step 3: Cross multiply
    444,511x = 960,101 × 960,101
  4. Step 4: Simplify right side
    444,511x = 921,793,930,201
  5. Step 5: Solve for x
    x = 921,793,930,201/444,511
  6. Step 6: Final answer
    x = 2,073,725.80

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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.