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Finding the Third Proportional to 491,124 and 1,054,009

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Solution

The third proportional to 491,124 and 1,054,009 is: 2,262,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,124 : 1,054,009 = 1,054,009 : x
  2. Step 2: Convert to fraction form
    491,124/1,054,009 = 1,054,009/x
  3. Step 3: Cross multiply
    491,124x = 1,054,009 × 1,054,009
  4. Step 4: Simplify right side
    491,124x = 1,110,934,972,081
  5. Step 5: Solve for x
    x = 1,110,934,972,081/491,124
  6. Step 6: Final answer
    x = 2,262,025.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.