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Finding the Third Proportional to 444,522 and 960,126

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Solution

The third proportional to 444,522 and 960,126 is: 2,073,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,522 : 960,126 = 960,126 : x
  2. Step 2: Convert to fraction form
    444,522/960,126 = 960,126/x
  3. Step 3: Cross multiply
    444,522x = 960,126 × 960,126
  4. Step 4: Simplify right side
    444,522x = 921,841,935,876
  5. Step 5: Solve for x
    x = 921,841,935,876/444,522
  6. Step 6: Final answer
    x = 2,073,782.48

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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.