Finding the Third Proportional to 961,680 and 1,415,304
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Solution
The third proportional to 961,680 and 1,415,304 is: 2,082,902.23
Step by Step Solution
- Step 1: Write the proportion equation
961,680 : 1,415,304 = 1,415,304 : x - Step 2: Convert to fraction form
961,680/1,415,304 = 1,415,304/x - Step 3: Cross multiply
961,680x = 1,415,304 × 1,415,304 - Step 4: Simplify right side
961,680x = 2,003,085,412,416 - Step 5: Solve for x
x = 2,003,085,412,416/961,680 - Step 6: Final answer
x = 2,082,902.23
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.