Finding the Third Proportional to 501,846 and 1,082,496
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Solution
The third proportional to 501,846 and 1,082,496 is: 2,334,974.45
Step by Step Solution
- Step 1: Write the proportion equation
501,846 : 1,082,496 = 1,082,496 : x - Step 2: Convert to fraction form
501,846/1,082,496 = 1,082,496/x - Step 3: Cross multiply
501,846x = 1,082,496 × 1,082,496 - Step 4: Simplify right side
501,846x = 1,171,797,590,016 - Step 5: Solve for x
x = 1,171,797,590,016/501,846 - Step 6: Final answer
x = 2,334,974.45
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.