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Finding the Third Proportional to 504,884.25 and 1,104,801.75

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Solution

The third proportional to 504,884.25 and 1,104,801.75 is: 2,417,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,884.25 : 1,104,801.75 = 1,104,801.75 : x
  2. Step 2: Convert to fraction form
    504,884.25/1,104,801.75 = 1,104,801.75/x
  3. Step 3: Cross multiply
    504,884.25x = 1,104,801.75 × 1,104,801.75
  4. Step 4: Simplify right side
    504,884.25x = 1,220,586,906,803.06
  5. Step 5: Solve for x
    x = 1,220,586,906,803.06/504,884.25
  6. Step 6: Final answer
    x = 2,417,557.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.