Finding the Third Proportional to 451,844 and 978,080
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Solution
The third proportional to 451,844 and 978,080 is: 2,117,191.97
Step by Step Solution
- Step 1: Write the proportion equation
451,844 : 978,080 = 978,080 : x - Step 2: Convert to fraction form
451,844/978,080 = 978,080/x - Step 3: Cross multiply
451,844x = 978,080 × 978,080 - Step 4: Simplify right side
451,844x = 956,640,486,400 - Step 5: Solve for x
x = 956,640,486,400/451,844 - Step 6: Final answer
x = 2,117,191.97
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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.