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Finding the Third Proportional to 438,110.44 and 941,663.25

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Solution

The third proportional to 438,110.44 and 941,663.25 is: 2,023,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,110.44 : 941,663.25 = 941,663.25 : x
  2. Step 2: Convert to fraction form
    438,110.44/941,663.25 = 941,663.25/x
  3. Step 3: Cross multiply
    438,110.44x = 941,663.25 × 941,663.25
  4. Step 4: Simplify right side
    438,110.44x = 886,729,676,400.56
  5. Step 5: Solve for x
    x = 886,729,676,400.56/438,110.44
  6. Step 6: Final answer
    x = 2,023,986.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.