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Finding the Third Proportional to 542,439 and 1,134,450

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Solution

The third proportional to 542,439 and 1,134,450 is: 2,372,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,439 : 1,134,450 = 1,134,450 : x
  2. Step 2: Convert to fraction form
    542,439/1,134,450 = 1,134,450/x
  3. Step 3: Cross multiply
    542,439x = 1,134,450 × 1,134,450
  4. Step 4: Simplify right side
    542,439x = 1,286,976,802,500
  5. Step 5: Solve for x
    x = 1,286,976,802,500/542,439
  6. Step 6: Final answer
    x = 2,372,574.25

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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.