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Finding the Third Proportional to 538,468 and 1,166,085

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Solution

The third proportional to 538,468 and 1,166,085 is: 2,525,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,468 : 1,166,085 = 1,166,085 : x
  2. Step 2: Convert to fraction form
    538,468/1,166,085 = 1,166,085/x
  3. Step 3: Cross multiply
    538,468x = 1,166,085 × 1,166,085
  4. Step 4: Simplify right side
    538,468x = 1,359,754,227,225
  5. Step 5: Solve for x
    x = 1,359,754,227,225/538,468
  6. Step 6: Final answer
    x = 2,525,227.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.