Finding the Third Proportional to 471,914 and 1,037,140
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Solution
The third proportional to 471,914 and 1,037,140 is: 2,279,354.67
Step by Step Solution
- Step 1: Write the proportion equation
471,914 : 1,037,140 = 1,037,140 : x - Step 2: Convert to fraction form
471,914/1,037,140 = 1,037,140/x - Step 3: Cross multiply
471,914x = 1,037,140 × 1,037,140 - Step 4: Simplify right side
471,914x = 1,075,659,379,600 - Step 5: Solve for x
x = 1,075,659,379,600/471,914 - Step 6: Final answer
x = 2,279,354.67
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.