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Finding the Third Proportional to 426,400 and 927,967

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Solution

The third proportional to 426,400 and 927,967 is: 2,019,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,400 : 927,967 = 927,967 : x
  2. Step 2: Convert to fraction form
    426,400/927,967 = 927,967/x
  3. Step 3: Cross multiply
    426,400x = 927,967 × 927,967
  4. Step 4: Simplify right side
    426,400x = 861,122,753,089
  5. Step 5: Solve for x
    x = 861,122,753,089/426,400
  6. Step 6: Final answer
    x = 2,019,518.65

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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.