Finding the Third Proportional to 498,816 and 1,207,584
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Solution
The third proportional to 498,816 and 1,207,584 is: 2,923,440.94
Step by Step Solution
- Step 1: Write the proportion equation
498,816 : 1,207,584 = 1,207,584 : x - Step 2: Convert to fraction form
498,816/1,207,584 = 1,207,584/x - Step 3: Cross multiply
498,816x = 1,207,584 × 1,207,584 - Step 4: Simplify right side
498,816x = 1,458,259,117,056 - Step 5: Solve for x
x = 1,458,259,117,056/498,816 - Step 6: Final answer
x = 2,923,440.94
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.