Finding the Third Proportional to 428,012 and 911,320
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Solution
The third proportional to 428,012 and 911,320 is: 1,940,375.84
Step by Step Solution
- Step 1: Write the proportion equation
428,012 : 911,320 = 911,320 : x - Step 2: Convert to fraction form
428,012/911,320 = 911,320/x - Step 3: Cross multiply
428,012x = 911,320 × 911,320 - Step 4: Simplify right side
428,012x = 830,504,142,400 - Step 5: Solve for x
x = 830,504,142,400/428,012 - Step 6: Final answer
x = 1,940,375.84
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.