Finding the Third Proportional to 634,400 and 1,428,496
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Solution
The third proportional to 634,400 and 1,428,496 is: 3,216,583.89
Step by Step Solution
- Step 1: Write the proportion equation
634,400 : 1,428,496 = 1,428,496 : x - Step 2: Convert to fraction form
634,400/1,428,496 = 1,428,496/x - Step 3: Cross multiply
634,400x = 1,428,496 × 1,428,496 - Step 4: Simplify right side
634,400x = 2,040,600,822,016 - Step 5: Solve for x
x = 2,040,600,822,016/634,400 - Step 6: Final answer
x = 3,216,583.89
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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.