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Finding the Third Proportional to 542,965 and 1,158,041

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Solution

The third proportional to 542,965 and 1,158,041 is: 2,469,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,965 : 1,158,041 = 1,158,041 : x
  2. Step 2: Convert to fraction form
    542,965/1,158,041 = 1,158,041/x
  3. Step 3: Cross multiply
    542,965x = 1,158,041 × 1,158,041
  4. Step 4: Simplify right side
    542,965x = 1,341,058,957,681
  5. Step 5: Solve for x
    x = 1,341,058,957,681/542,965
  6. Step 6: Final answer
    x = 2,469,881.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.