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Finding the Third Proportional to 482,969.25 and 1,048,902.75

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Solution

The third proportional to 482,969.25 and 1,048,902.75 is: 2,277,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,969.25 : 1,048,902.75 = 1,048,902.75 : x
  2. Step 2: Convert to fraction form
    482,969.25/1,048,902.75 = 1,048,902.75/x
  3. Step 3: Cross multiply
    482,969.25x = 1,048,902.75 × 1,048,902.75
  4. Step 4: Simplify right side
    482,969.25x = 1,100,196,978,957.56
  5. Step 5: Solve for x
    x = 1,100,196,978,957.56/482,969.25
  6. Step 6: Final answer
    x = 2,277,985.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.