Finding the Third Proportional to 471,384 and 1,018,071
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Solution
The third proportional to 471,384 and 1,018,071 is: 2,198,777.56
Step by Step Solution
- Step 1: Write the proportion equation
471,384 : 1,018,071 = 1,018,071 : x - Step 2: Convert to fraction form
471,384/1,018,071 = 1,018,071/x - Step 3: Cross multiply
471,384x = 1,018,071 × 1,018,071 - Step 4: Simplify right side
471,384x = 1,036,468,561,041 - Step 5: Solve for x
x = 1,036,468,561,041/471,384 - Step 6: Final answer
x = 2,198,777.56
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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.