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Finding the Third Proportional to 458,449.88 and 1,007,660.25

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Solution

The third proportional to 458,449.88 and 1,007,660.25 is: 2,214,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,449.88 : 1,007,660.25 = 1,007,660.25 : x
  2. Step 2: Convert to fraction form
    458,449.88/1,007,660.25 = 1,007,660.25/x
  3. Step 3: Cross multiply
    458,449.88x = 1,007,660.25 × 1,007,660.25
  4. Step 4: Simplify right side
    458,449.88x = 1,015,379,179,430.06
  5. Step 5: Solve for x
    x = 1,015,379,179,430.06/458,449.88
  6. Step 6: Final answer
    x = 2,214,809.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.