Finding the Third Proportional to 649,833 and 1,004,253
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Solution
The third proportional to 649,833 and 1,004,253 is: 1,551,974.26
Step by Step Solution
- Step 1: Write the proportion equation
649,833 : 1,004,253 = 1,004,253 : x - Step 2: Convert to fraction form
649,833/1,004,253 = 1,004,253/x - Step 3: Cross multiply
649,833x = 1,004,253 × 1,004,253 - Step 4: Simplify right side
649,833x = 1,008,524,088,009 - Step 5: Solve for x
x = 1,008,524,088,009/649,833 - Step 6: Final answer
x = 1,551,974.26
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.