Finding the Third Proportional to 424,212 and 914,844
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Solution
The third proportional to 424,212 and 914,844 is: 1,972,927.56
Step by Step Solution
- Step 1: Write the proportion equation
424,212 : 914,844 = 914,844 : x - Step 2: Convert to fraction form
424,212/914,844 = 914,844/x - Step 3: Cross multiply
424,212x = 914,844 × 914,844 - Step 4: Simplify right side
424,212x = 836,939,544,336 - Step 5: Solve for x
x = 836,939,544,336/424,212 - Step 6: Final answer
x = 1,972,927.56
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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.