Finding the Third Proportional to 464,052 and 983,016
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Solution
The third proportional to 464,052 and 983,016 is: 2,082,353.82
Step by Step Solution
- Step 1: Write the proportion equation
464,052 : 983,016 = 983,016 : x - Step 2: Convert to fraction form
464,052/983,016 = 983,016/x - Step 3: Cross multiply
464,052x = 983,016 × 983,016 - Step 4: Simplify right side
464,052x = 966,320,456,256 - Step 5: Solve for x
x = 966,320,456,256/464,052 - Step 6: Final answer
x = 2,082,353.82
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.