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Finding the Third Proportional to 426,408.75 and 927,984.38

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Solution

The third proportional to 426,408.75 and 927,984.38 is: 2,019,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,408.75 : 927,984.38 = 927,984.38 : x
  2. Step 2: Convert to fraction form
    426,408.75/927,984.38 = 927,984.38/x
  3. Step 3: Cross multiply
    426,408.75x = 927,984.38 × 927,984.38
  4. Step 4: Simplify right side
    426,408.75x = 861,155,000,244.14
  5. Step 5: Solve for x
    x = 861,155,000,244.14/426,408.75
  6. Step 6: Final answer
    x = 2,019,552.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.