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Finding the Third Proportional to 437,092 and 960,896

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Solution

The third proportional to 437,092 and 960,896 is: 2,112,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,092 : 960,896 = 960,896 : x
  2. Step 2: Convert to fraction form
    437,092/960,896 = 960,896/x
  3. Step 3: Cross multiply
    437,092x = 960,896 × 960,896
  4. Step 4: Simplify right side
    437,092x = 923,321,122,816
  5. Step 5: Solve for x
    x = 923,321,122,816/437,092
  6. Step 6: Final answer
    x = 2,112,418.26

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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.