Finding the Third Proportional to 1,012,382 and 1,424,043
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Solution
The third proportional to 1,012,382 and 1,424,043 is: 2,003,096.13
Step by Step Solution
- Step 1: Write the proportion equation
1,012,382 : 1,424,043 = 1,424,043 : x - Step 2: Convert to fraction form
1,012,382/1,424,043 = 1,424,043/x - Step 3: Cross multiply
1,012,382x = 1,424,043 × 1,424,043 - Step 4: Simplify right side
1,012,382x = 2,027,898,465,849 - Step 5: Solve for x
x = 2,027,898,465,849/1,012,382 - Step 6: Final answer
x = 2,003,096.13
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.