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Finding the Third Proportional to 538,923 and 1,177,029

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Solution

The third proportional to 538,923 and 1,177,029 is: 2,570,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,923 : 1,177,029 = 1,177,029 : x
  2. Step 2: Convert to fraction form
    538,923/1,177,029 = 1,177,029/x
  3. Step 3: Cross multiply
    538,923x = 1,177,029 × 1,177,029
  4. Step 4: Simplify right side
    538,923x = 1,385,397,266,841
  5. Step 5: Solve for x
    x = 1,385,397,266,841/538,923
  6. Step 6: Final answer
    x = 2,570,677.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.