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Finding the Third Proportional to 542,970 and 1,168,794

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Solution

The third proportional to 542,970 and 1,168,794 is: 2,515,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970 : 1,168,794 = 1,168,794 : x
  2. Step 2: Convert to fraction form
    542,970/1,168,794 = 1,168,794/x
  3. Step 3: Cross multiply
    542,970x = 1,168,794 × 1,168,794
  4. Step 4: Simplify right side
    542,970x = 1,366,079,414,436
  5. Step 5: Solve for x
    x = 1,366,079,414,436/542,970
  6. Step 6: Final answer
    x = 2,515,939.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.