Finding the Third Proportional to 428,832 and 914,616
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Solution
The third proportional to 428,832 and 914,616 is: 1,950,699.64
Step by Step Solution
- Step 1: Write the proportion equation
428,832 : 914,616 = 914,616 : x - Step 2: Convert to fraction form
428,832/914,616 = 914,616/x - Step 3: Cross multiply
428,832x = 914,616 × 914,616 - Step 4: Simplify right side
428,832x = 836,522,427,456 - Step 5: Solve for x
x = 836,522,427,456/428,832 - Step 6: Final answer
x = 1,950,699.64
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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.