Finding the Third Proportional to 459,576 and 982,278
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Solution
The third proportional to 459,576 and 982,278 is: 2,099,478.80
Step by Step Solution
- Step 1: Write the proportion equation
459,576 : 982,278 = 982,278 : x - Step 2: Convert to fraction form
459,576/982,278 = 982,278/x - Step 3: Cross multiply
459,576x = 982,278 × 982,278 - Step 4: Simplify right side
459,576x = 964,870,069,284 - Step 5: Solve for x
x = 964,870,069,284/459,576 - Step 6: Final answer
x = 2,099,478.80
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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.