Finding the Third Proportional to 500,876 and 1,024,792
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Solution
The third proportional to 500,876 and 1,024,792 is: 2,096,723.83
Step by Step Solution
- Step 1: Write the proportion equation
500,876 : 1,024,792 = 1,024,792 : x - Step 2: Convert to fraction form
500,876/1,024,792 = 1,024,792/x - Step 3: Cross multiply
500,876x = 1,024,792 × 1,024,792 - Step 4: Simplify right side
500,876x = 1,050,198,643,264 - Step 5: Solve for x
x = 1,050,198,643,264/500,876 - Step 6: Final answer
x = 2,096,723.83
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.