Finding the Third Proportional to 455,874 and 978,208
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Solution
The third proportional to 455,874 and 978,208 is: 2,099,024.93
Step by Step Solution
- Step 1: Write the proportion equation
455,874 : 978,208 = 978,208 : x - Step 2: Convert to fraction form
455,874/978,208 = 978,208/x - Step 3: Cross multiply
455,874x = 978,208 × 978,208 - Step 4: Simplify right side
455,874x = 956,890,891,264 - Step 5: Solve for x
x = 956,890,891,264/455,874 - Step 6: Final answer
x = 2,099,024.93
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.