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Finding the Third Proportional to 542,436 and 1,134,444

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Solution

The third proportional to 542,436 and 1,134,444 is: 2,372,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,436 : 1,134,444 = 1,134,444 : x
  2. Step 2: Convert to fraction form
    542,436/1,134,444 = 1,134,444/x
  3. Step 3: Cross multiply
    542,436x = 1,134,444 × 1,134,444
  4. Step 4: Simplify right side
    542,436x = 1,286,963,189,136
  5. Step 5: Solve for x
    x = 1,286,963,189,136/542,436
  6. Step 6: Final answer
    x = 2,372,562.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.