Finding the Third Proportional to 397,100 and 856,404
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Solution
The third proportional to 397,100 and 856,404 is: 1,846,959.99
Step by Step Solution
- Step 1: Write the proportion equation
397,100 : 856,404 = 856,404 : x - Step 2: Convert to fraction form
397,100/856,404 = 856,404/x - Step 3: Cross multiply
397,100x = 856,404 × 856,404 - Step 4: Simplify right side
397,100x = 733,427,811,216 - Step 5: Solve for x
x = 733,427,811,216/397,100 - Step 6: Final answer
x = 1,846,959.99
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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.