Finding the Third Proportional to 682,943 and 1,002,265
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Solution
The third proportional to 682,943 and 1,002,265 is: 1,470,891.61
Step by Step Solution
- Step 1: Write the proportion equation
682,943 : 1,002,265 = 1,002,265 : x - Step 2: Convert to fraction form
682,943/1,002,265 = 1,002,265/x - Step 3: Cross multiply
682,943x = 1,002,265 × 1,002,265 - Step 4: Simplify right side
682,943x = 1,004,535,130,225 - Step 5: Solve for x
x = 1,004,535,130,225/682,943 - Step 6: Final answer
x = 1,470,891.61
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.