Finding the Third Proportional to 428,826 and 914,604
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Solution
The third proportional to 428,826 and 914,604 is: 1,950,675.74
Step by Step Solution
- Step 1: Write the proportion equation
428,826 : 914,604 = 914,604 : x - Step 2: Convert to fraction form
428,826/914,604 = 914,604/x - Step 3: Cross multiply
428,826x = 914,604 × 914,604 - Step 4: Simplify right side
428,826x = 836,500,476,816 - Step 5: Solve for x
x = 836,500,476,816/428,826 - Step 6: Final answer
x = 1,950,675.74
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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.