Finding the Third Proportional to 447,788 and 946,114
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Solution
The third proportional to 447,788 and 946,114 is: 1,999,007.79
Step by Step Solution
- Step 1: Write the proportion equation
447,788 : 946,114 = 946,114 : x - Step 2: Convert to fraction form
447,788/946,114 = 946,114/x - Step 3: Cross multiply
447,788x = 946,114 × 946,114 - Step 4: Simplify right side
447,788x = 895,131,700,996 - Step 5: Solve for x
x = 895,131,700,996/447,788 - Step 6: Final answer
x = 1,999,007.79
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.