Finding the Third Proportional to 465,814 and 998,036
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Solution
The third proportional to 465,814 and 998,036 is: 2,138,355.35
Step by Step Solution
- Step 1: Write the proportion equation
465,814 : 998,036 = 998,036 : x - Step 2: Convert to fraction form
465,814/998,036 = 998,036/x - Step 3: Cross multiply
465,814x = 998,036 × 998,036 - Step 4: Simplify right side
465,814x = 996,075,857,296 - Step 5: Solve for x
x = 996,075,857,296/465,814 - Step 6: Final answer
x = 2,138,355.35
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.