Finding the Third Proportional to 397,086 and 856,380
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Solution
The third proportional to 397,086 and 856,380 is: 1,846,921.58
Step by Step Solution
- Step 1: Write the proportion equation
397,086 : 856,380 = 856,380 : x - Step 2: Convert to fraction form
397,086/856,380 = 856,380/x - Step 3: Cross multiply
397,086x = 856,380 × 856,380 - Step 4: Simplify right side
397,086x = 733,386,704,400 - Step 5: Solve for x
x = 733,386,704,400/397,086 - Step 6: Final answer
x = 1,846,921.58
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.