Finding the Third Proportional to 491,028 and 1,057,143
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Solution
The third proportional to 491,028 and 1,057,143 is: 2,275,942.15
Step by Step Solution
- Step 1: Write the proportion equation
491,028 : 1,057,143 = 1,057,143 : x - Step 2: Convert to fraction form
491,028/1,057,143 = 1,057,143/x - Step 3: Cross multiply
491,028x = 1,057,143 × 1,057,143 - Step 4: Simplify right side
491,028x = 1,117,551,322,449 - Step 5: Solve for x
x = 1,117,551,322,449/491,028 - Step 6: Final answer
x = 2,275,942.15
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.