Finding the Third Proportional to 961,684 and 1,415,310
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Solution
The third proportional to 961,684 and 1,415,310 is: 2,082,911.22
Step by Step Solution
- Step 1: Write the proportion equation
961,684 : 1,415,310 = 1,415,310 : x - Step 2: Convert to fraction form
961,684/1,415,310 = 1,415,310/x - Step 3: Cross multiply
961,684x = 1,415,310 × 1,415,310 - Step 4: Simplify right side
961,684x = 2,003,102,396,100 - Step 5: Solve for x
x = 2,003,102,396,100/961,684 - Step 6: Final answer
x = 2,082,911.22
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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.