Finding the Third Proportional to 428,747 and 914,493
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Solution
The third proportional to 428,747 and 914,493 is: 1,950,561.63
Step by Step Solution
- Step 1: Write the proportion equation
428,747 : 914,493 = 914,493 : x - Step 2: Convert to fraction form
428,747/914,493 = 914,493/x - Step 3: Cross multiply
428,747x = 914,493 × 914,493 - Step 4: Simplify right side
428,747x = 836,297,447,049 - Step 5: Solve for x
x = 836,297,447,049/428,747 - Step 6: Final answer
x = 1,950,561.63
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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.