Finding the Third Proportional to 428,768 and 914,492
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Solution
The third proportional to 428,768 and 914,492 is: 1,950,461.83
Step by Step Solution
- Step 1: Write the proportion equation
428,768 : 914,492 = 914,492 : x - Step 2: Convert to fraction form
428,768/914,492 = 914,492/x - Step 3: Cross multiply
428,768x = 914,492 × 914,492 - Step 4: Simplify right side
428,768x = 836,295,618,064 - Step 5: Solve for x
x = 836,295,618,064/428,768 - Step 6: Final answer
x = 1,950,461.83
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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.