Finding the Third Proportional to 420,188 and 922,016
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Solution
The third proportional to 420,188 and 922,016 is: 2,023,174.16
Step by Step Solution
- Step 1: Write the proportion equation
420,188 : 922,016 = 922,016 : x - Step 2: Convert to fraction form
420,188/922,016 = 922,016/x - Step 3: Cross multiply
420,188x = 922,016 × 922,016 - Step 4: Simplify right side
420,188x = 850,113,504,256 - Step 5: Solve for x
x = 850,113,504,256/420,188 - Step 6: Final answer
x = 2,023,174.16
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.