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Finding the Third Proportional to 538,106 and 1,131,980

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Solution

The third proportional to 538,106 and 1,131,980 is: 2,381,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,106 : 1,131,980 = 1,131,980 : x
  2. Step 2: Convert to fraction form
    538,106/1,131,980 = 1,131,980/x
  3. Step 3: Cross multiply
    538,106x = 1,131,980 × 1,131,980
  4. Step 4: Simplify right side
    538,106x = 1,281,378,720,400
  5. Step 5: Solve for x
    x = 1,281,378,720,400/538,106
  6. Step 6: Final answer
    x = 2,381,275.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.