Finding the Third Proportional to 511,024 and 1,075,016
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Solution
The third proportional to 511,024 and 1,075,016 is: 2,261,458.17
Step by Step Solution
- Step 1: Write the proportion equation
511,024 : 1,075,016 = 1,075,016 : x - Step 2: Convert to fraction form
511,024/1,075,016 = 1,075,016/x - Step 3: Cross multiply
511,024x = 1,075,016 × 1,075,016 - Step 4: Simplify right side
511,024x = 1,155,659,400,256 - Step 5: Solve for x
x = 1,155,659,400,256/511,024 - Step 6: Final answer
x = 2,261,458.17
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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.