Finding the Third Proportional to 829,704 and 1,820,112
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Solution
The third proportional to 829,704 and 1,820,112 is: 3,992,758.49
Step by Step Solution
- Step 1: Write the proportion equation
829,704 : 1,820,112 = 1,820,112 : x - Step 2: Convert to fraction form
829,704/1,820,112 = 1,820,112/x - Step 3: Cross multiply
829,704x = 1,820,112 × 1,820,112 - Step 4: Simplify right side
829,704x = 3,312,807,692,544 - Step 5: Solve for x
x = 3,312,807,692,544/829,704 - Step 6: Final answer
x = 3,992,758.49
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.