Finding the Third Proportional to 834,821 and 1,827,082
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Solution
The third proportional to 834,821 and 1,827,082 is: 3,998,735.82
Step by Step Solution
- Step 1: Write the proportion equation
834,821 : 1,827,082 = 1,827,082 : x - Step 2: Convert to fraction form
834,821/1,827,082 = 1,827,082/x - Step 3: Cross multiply
834,821x = 1,827,082 × 1,827,082 - Step 4: Simplify right side
834,821x = 3,338,228,634,724 - Step 5: Solve for x
x = 3,338,228,634,724/834,821 - Step 6: Final answer
x = 3,998,735.82
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.