Finding the Third Proportional to 478,140 and 1,040,396
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Solution
The third proportional to 478,140 and 1,040,396 is: 2,263,821.97
Step by Step Solution
- Step 1: Write the proportion equation
478,140 : 1,040,396 = 1,040,396 : x - Step 2: Convert to fraction form
478,140/1,040,396 = 1,040,396/x - Step 3: Cross multiply
478,140x = 1,040,396 × 1,040,396 - Step 4: Simplify right side
478,140x = 1,082,423,836,816 - Step 5: Solve for x
x = 1,082,423,836,816/478,140 - Step 6: Final answer
x = 2,263,821.97
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.