Finding the Third Proportional to 512,622 and 789,012
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Solution
The third proportional to 512,622 and 789,012 is: 1,214,422.98
Step by Step Solution
- Step 1: Write the proportion equation
512,622 : 789,012 = 789,012 : x - Step 2: Convert to fraction form
512,622/789,012 = 789,012/x - Step 3: Cross multiply
512,622x = 789,012 × 789,012 - Step 4: Simplify right side
512,622x = 622,539,936,144 - Step 5: Solve for x
x = 622,539,936,144/512,622 - Step 6: Final answer
x = 1,214,422.98
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.