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Finding the Third Proportional to 504,084 and 1,100,616

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Solution

The third proportional to 504,084 and 1,100,616 is: 2,403,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,084 : 1,100,616 = 1,100,616 : x
  2. Step 2: Convert to fraction form
    504,084/1,100,616 = 1,100,616/x
  3. Step 3: Cross multiply
    504,084x = 1,100,616 × 1,100,616
  4. Step 4: Simplify right side
    504,084x = 1,211,355,579,456
  5. Step 5: Solve for x
    x = 1,211,355,579,456/504,084
  6. Step 6: Final answer
    x = 2,403,082.78

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Why These Related Problems?

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