Finding the Third Proportional to 496,872 and 1,072,431
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Solution
The third proportional to 496,872 and 1,072,431 is: 2,314,697.25
Step by Step Solution
- Step 1: Write the proportion equation
496,872 : 1,072,431 = 1,072,431 : x - Step 2: Convert to fraction form
496,872/1,072,431 = 1,072,431/x - Step 3: Cross multiply
496,872x = 1,072,431 × 1,072,431 - Step 4: Simplify right side
496,872x = 1,150,108,249,761 - Step 5: Solve for x
x = 1,150,108,249,761/496,872 - Step 6: Final answer
x = 2,314,697.25
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.