Finding the Third Proportional to 494,686 and 1,059,464
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Solution
The third proportional to 494,686 and 1,059,464 is: 2,269,043.33
Step by Step Solution
- Step 1: Write the proportion equation
494,686 : 1,059,464 = 1,059,464 : x - Step 2: Convert to fraction form
494,686/1,059,464 = 1,059,464/x - Step 3: Cross multiply
494,686x = 1,059,464 × 1,059,464 - Step 4: Simplify right side
494,686x = 1,122,463,967,296 - Step 5: Solve for x
x = 1,122,463,967,296/494,686 - Step 6: Final answer
x = 2,269,043.33
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.