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Finding the Third Proportional to 560,380 and 1,245,176

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Solution

The third proportional to 560,380 and 1,245,176 is: 2,766,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,380 : 1,245,176 = 1,245,176 : x
  2. Step 2: Convert to fraction form
    560,380/1,245,176 = 1,245,176/x
  3. Step 3: Cross multiply
    560,380x = 1,245,176 × 1,245,176
  4. Step 4: Simplify right side
    560,380x = 1,550,463,270,976
  5. Step 5: Solve for x
    x = 1,550,463,270,976/560,380
  6. Step 6: Final answer
    x = 2,766,806.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.