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Finding the Third Proportional to 444,520 and 960,122

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Solution

The third proportional to 444,520 and 960,122 is: 2,073,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,520 : 960,122 = 960,122 : x
  2. Step 2: Convert to fraction form
    444,520/960,122 = 960,122/x
  3. Step 3: Cross multiply
    444,520x = 960,122 × 960,122
  4. Step 4: Simplify right side
    444,520x = 921,834,254,884
  5. Step 5: Solve for x
    x = 921,834,254,884/444,520
  6. Step 6: Final answer
    x = 2,073,774.53

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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.