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Finding the Third Proportional to 920,144 and 2,010,880

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Solution

The third proportional to 920,144 and 2,010,880 is: 4,394,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,144 : 2,010,880 = 2,010,880 : x
  2. Step 2: Convert to fraction form
    920,144/2,010,880 = 2,010,880/x
  3. Step 3: Cross multiply
    920,144x = 2,010,880 × 2,010,880
  4. Step 4: Simplify right side
    920,144x = 4,043,638,374,400
  5. Step 5: Solve for x
    x = 4,043,638,374,400/920,144
  6. Step 6: Final answer
    x = 4,394,571.26

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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.