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Finding the Third Proportional to 967,680 and 1,504,512

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Solution

The third proportional to 967,680 and 1,504,512 is: 2,339,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,680 : 1,504,512 = 1,504,512 : x
  2. Step 2: Convert to fraction form
    967,680/1,504,512 = 1,504,512/x
  3. Step 3: Cross multiply
    967,680x = 1,504,512 × 1,504,512
  4. Step 4: Simplify right side
    967,680x = 2,263,556,358,144
  5. Step 5: Solve for x
    x = 2,263,556,358,144/967,680
  6. Step 6: Final answer
    x = 2,339,157.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.