Finding the Third Proportional to 509,195 and 1,059,817
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Solution
The third proportional to 509,195 and 1,059,817 is: 2,205,858.41
Step by Step Solution
- Step 1: Write the proportion equation
509,195 : 1,059,817 = 1,059,817 : x - Step 2: Convert to fraction form
509,195/1,059,817 = 1,059,817/x - Step 3: Cross multiply
509,195x = 1,059,817 × 1,059,817 - Step 4: Simplify right side
509,195x = 1,123,212,073,489 - Step 5: Solve for x
x = 1,123,212,073,489/509,195 - Step 6: Final answer
x = 2,205,858.41
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.