Finding the Third Proportional to 511,022 and 1,075,012
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Solution
The third proportional to 511,022 and 1,075,012 is: 2,261,450.19
Step by Step Solution
- Step 1: Write the proportion equation
511,022 : 1,075,012 = 1,075,012 : x - Step 2: Convert to fraction form
511,022/1,075,012 = 1,075,012/x - Step 3: Cross multiply
511,022x = 1,075,012 × 1,075,012 - Step 4: Simplify right side
511,022x = 1,155,650,800,144 - Step 5: Solve for x
x = 1,155,650,800,144/511,022 - Step 6: Final answer
x = 2,261,450.19
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.