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Finding the Third Proportional to 541,024 and 1,157,094

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Solution

The third proportional to 541,024 and 1,157,094 is: 2,474,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,024 : 1,157,094 = 1,157,094 : x
  2. Step 2: Convert to fraction form
    541,024/1,157,094 = 1,157,094/x
  3. Step 3: Cross multiply
    541,024x = 1,157,094 × 1,157,094
  4. Step 4: Simplify right side
    541,024x = 1,338,866,524,836
  5. Step 5: Solve for x
    x = 1,338,866,524,836/541,024
  6. Step 6: Final answer
    x = 2,474,689.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.