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Finding the Third Proportional to 538,472 and 1,166,094

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Solution

The third proportional to 538,472 and 1,166,094 is: 2,525,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,472 : 1,166,094 = 1,166,094 : x
  2. Step 2: Convert to fraction form
    538,472/1,166,094 = 1,166,094/x
  3. Step 3: Cross multiply
    538,472x = 1,166,094 × 1,166,094
  4. Step 4: Simplify right side
    538,472x = 1,359,775,216,836
  5. Step 5: Solve for x
    x = 1,359,775,216,836/538,472
  6. Step 6: Final answer
    x = 2,525,247.77

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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.