Finding the Third Proportional to 451,842 and 978,071
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Solution
The third proportional to 451,842 and 978,071 is: 2,117,162.37
Step by Step Solution
- Step 1: Write the proportion equation
451,842 : 978,071 = 978,071 : x - Step 2: Convert to fraction form
451,842/978,071 = 978,071/x - Step 3: Cross multiply
451,842x = 978,071 × 978,071 - Step 4: Simplify right side
451,842x = 956,622,881,041 - Step 5: Solve for x
x = 956,622,881,041/451,842 - Step 6: Final answer
x = 2,117,162.37
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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.