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Finding the Third Proportional to 538,140.38 and 1,141,877.25

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Solution

The third proportional to 538,140.38 and 1,141,877.25 is: 2,422,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,140.38 : 1,141,877.25 = 1,141,877.25 : x
  2. Step 2: Convert to fraction form
    538,140.38/1,141,877.25 = 1,141,877.25/x
  3. Step 3: Cross multiply
    538,140.38x = 1,141,877.25 × 1,141,877.25
  4. Step 4: Simplify right side
    538,140.38x = 1,303,883,654,067.56
  5. Step 5: Solve for x
    x = 1,303,883,654,067.56/538,140.38
  6. Step 6: Final answer
    x = 2,422,943.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.