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Finding the Third Proportional to 426,463.31 and 927,659.25

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Solution

The third proportional to 426,463.31 and 927,659.25 is: 2,017,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,463.31 : 927,659.25 = 927,659.25 : x
  2. Step 2: Convert to fraction form
    426,463.31/927,659.25 = 927,659.25/x
  3. Step 3: Cross multiply
    426,463.31x = 927,659.25 × 927,659.25
  4. Step 4: Simplify right side
    426,463.31x = 860,551,684,110.56
  5. Step 5: Solve for x
    x = 860,551,684,110.56/426,463.31
  6. Step 6: Final answer
    x = 2,017,879.75

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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.