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Finding the Third Proportional to 462,454.50 and 1,008,944.25

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Solution

The third proportional to 462,454.50 and 1,008,944.25 is: 2,201,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,454.50 : 1,008,944.25 = 1,008,944.25 : x
  2. Step 2: Convert to fraction form
    462,454.50/1,008,944.25 = 1,008,944.25/x
  3. Step 3: Cross multiply
    462,454.50x = 1,008,944.25 × 1,008,944.25
  4. Step 4: Simplify right side
    462,454.50x = 1,017,968,499,608.06
  5. Step 5: Solve for x
    x = 1,017,968,499,608.06/462,454.50
  6. Step 6: Final answer
    x = 2,201,229.53

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