Finding the Third Proportional to 946,646 and 1,429,825
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Solution
The third proportional to 946,646 and 1,429,825 is: 2,159,624.12
Step by Step Solution
- Step 1: Write the proportion equation
946,646 : 1,429,825 = 1,429,825 : x - Step 2: Convert to fraction form
946,646/1,429,825 = 1,429,825/x - Step 3: Cross multiply
946,646x = 1,429,825 × 1,429,825 - Step 4: Simplify right side
946,646x = 2,044,399,530,625 - Step 5: Solve for x
x = 2,044,399,530,625/946,646 - Step 6: Final answer
x = 2,159,624.12
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.