Finding the Third Proportional to 451,894 and 978,182
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Solution
The third proportional to 451,894 and 978,182 is: 2,117,399.27
Step by Step Solution
- Step 1: Write the proportion equation
451,894 : 978,182 = 978,182 : x - Step 2: Convert to fraction form
451,894/978,182 = 978,182/x - Step 3: Cross multiply
451,894x = 978,182 × 978,182 - Step 4: Simplify right side
451,894x = 956,840,025,124 - Step 5: Solve for x
x = 956,840,025,124/451,894 - Step 6: Final answer
x = 2,117,399.27
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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.