Finding the Third Proportional to 427,364 and 914,020
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Solution
The third proportional to 427,364 and 914,020 is: 1,954,850.11
Step by Step Solution
- Step 1: Write the proportion equation
427,364 : 914,020 = 914,020 : x - Step 2: Convert to fraction form
427,364/914,020 = 914,020/x - Step 3: Cross multiply
427,364x = 914,020 × 914,020 - Step 4: Simplify right side
427,364x = 835,432,560,400 - Step 5: Solve for x
x = 835,432,560,400/427,364 - Step 6: Final answer
x = 1,954,850.11
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.