Finding the Third Proportional to 459,821 and 1,005,178
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Solution
The third proportional to 459,821 and 1,005,178 is: 2,197,339.42
Step by Step Solution
- Step 1: Write the proportion equation
459,821 : 1,005,178 = 1,005,178 : x - Step 2: Convert to fraction form
459,821/1,005,178 = 1,005,178/x - Step 3: Cross multiply
459,821x = 1,005,178 × 1,005,178 - Step 4: Simplify right side
459,821x = 1,010,382,811,684 - Step 5: Solve for x
x = 1,010,382,811,684/459,821 - Step 6: Final answer
x = 2,197,339.42
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.