Finding the Third Proportional to 471,172 and 1,025,288
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Solution
The third proportional to 471,172 and 1,025,288 is: 2,231,065.26
Step by Step Solution
- Step 1: Write the proportion equation
471,172 : 1,025,288 = 1,025,288 : x - Step 2: Convert to fraction form
471,172/1,025,288 = 1,025,288/x - Step 3: Cross multiply
471,172x = 1,025,288 × 1,025,288 - Step 4: Simplify right side
471,172x = 1,051,215,482,944 - Step 5: Solve for x
x = 1,051,215,482,944/471,172 - Step 6: Final answer
x = 2,231,065.26
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.