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Finding the Third Proportional to 542,596 and 1,134,760

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Solution

The third proportional to 542,596 and 1,134,760 is: 2,373,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,596 : 1,134,760 = 1,134,760 : x
  2. Step 2: Convert to fraction form
    542,596/1,134,760 = 1,134,760/x
  3. Step 3: Cross multiply
    542,596x = 1,134,760 × 1,134,760
  4. Step 4: Simplify right side
    542,596x = 1,287,680,257,600
  5. Step 5: Solve for x
    x = 1,287,680,257,600/542,596
  6. Step 6: Final answer
    x = 2,373,184.21

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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.