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Finding the Third Proportional to 426,844 and 932,408

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Solution

The third proportional to 426,844 and 932,408 is: 2,036,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,844 : 932,408 = 932,408 : x
  2. Step 2: Convert to fraction form
    426,844/932,408 = 932,408/x
  3. Step 3: Cross multiply
    426,844x = 932,408 × 932,408
  4. Step 4: Simplify right side
    426,844x = 869,384,678,464
  5. Step 5: Solve for x
    x = 869,384,678,464/426,844
  6. Step 6: Final answer
    x = 2,036,773.81

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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.