Finding the Third Proportional to 416,436 and 902,856
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Solution
The third proportional to 416,436 and 902,856 is: 1,957,441.14
Step by Step Solution
- Step 1: Write the proportion equation
416,436 : 902,856 = 902,856 : x - Step 2: Convert to fraction form
416,436/902,856 = 902,856/x - Step 3: Cross multiply
416,436x = 902,856 × 902,856 - Step 4: Simplify right side
416,436x = 815,148,956,736 - Step 5: Solve for x
x = 815,148,956,736/416,436 - Step 6: Final answer
x = 1,957,441.14
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.