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Finding the Third Proportional to 490,232 and 1,055,538

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Solution

The third proportional to 490,232 and 1,055,538 is: 2,272,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,232 : 1,055,538 = 1,055,538 : x
  2. Step 2: Convert to fraction form
    490,232/1,055,538 = 1,055,538/x
  3. Step 3: Cross multiply
    490,232x = 1,055,538 × 1,055,538
  4. Step 4: Simplify right side
    490,232x = 1,114,160,469,444
  5. Step 5: Solve for x
    x = 1,114,160,469,444/490,232
  6. Step 6: Final answer
    x = 2,272,720.81

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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.