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Finding the Third Proportional to 542,441 and 1,134,454

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Solution

The third proportional to 542,441 and 1,134,454 is: 2,372,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,441 : 1,134,454 = 1,134,454 : x
  2. Step 2: Convert to fraction form
    542,441/1,134,454 = 1,134,454/x
  3. Step 3: Cross multiply
    542,441x = 1,134,454 × 1,134,454
  4. Step 4: Simplify right side
    542,441x = 1,286,985,878,116
  5. Step 5: Solve for x
    x = 1,286,985,878,116/542,441
  6. Step 6: Final answer
    x = 2,372,582.23

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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.