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Finding the Third Proportional to 538,938 and 1,182,852

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Solution

The third proportional to 538,938 and 1,182,852 is: 2,596,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,938 : 1,182,852 = 1,182,852 : x
  2. Step 2: Convert to fraction form
    538,938/1,182,852 = 1,182,852/x
  3. Step 3: Cross multiply
    538,938x = 1,182,852 × 1,182,852
  4. Step 4: Simplify right side
    538,938x = 1,399,138,853,904
  5. Step 5: Solve for x
    x = 1,399,138,853,904/538,938
  6. Step 6: Final answer
    x = 2,596,103.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.