Finding the Third Proportional to 491,022 and 1,075,734
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Solution
The third proportional to 491,022 and 1,075,734 is: 2,356,724.62
Step by Step Solution
- Step 1: Write the proportion equation
491,022 : 1,075,734 = 1,075,734 : x - Step 2: Convert to fraction form
491,022/1,075,734 = 1,075,734/x - Step 3: Cross multiply
491,022x = 1,075,734 × 1,075,734 - Step 4: Simplify right side
491,022x = 1,157,203,638,756 - Step 5: Solve for x
x = 1,157,203,638,756/491,022 - Step 6: Final answer
x = 2,356,724.62
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.