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Finding the Third Proportional to 542,433 and 1,134,438

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Solution

The third proportional to 542,433 and 1,134,438 is: 2,372,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,433 : 1,134,438 = 1,134,438 : x
  2. Step 2: Convert to fraction form
    542,433/1,134,438 = 1,134,438/x
  3. Step 3: Cross multiply
    542,433x = 1,134,438 × 1,134,438
  4. Step 4: Simplify right side
    542,433x = 1,286,949,575,844
  5. Step 5: Solve for x
    x = 1,286,949,575,844/542,433
  6. Step 6: Final answer
    x = 2,372,550.30

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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.