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Finding the Third Proportional to 605,284 and 1,328,120

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Solution

The third proportional to 605,284 and 1,328,120 is: 2,914,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,284 : 1,328,120 = 1,328,120 : x
  2. Step 2: Convert to fraction form
    605,284/1,328,120 = 1,328,120/x
  3. Step 3: Cross multiply
    605,284x = 1,328,120 × 1,328,120
  4. Step 4: Simplify right side
    605,284x = 1,763,902,734,400
  5. Step 5: Solve for x
    x = 1,763,902,734,400/605,284
  6. Step 6: Final answer
    x = 2,914,173.73

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Why These Related Problems?

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