Finding the Third Proportional to 410,859 and 897,342
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Solution
The third proportional to 410,859 and 897,342 is: 1,959,851.59
Step by Step Solution
- Step 1: Write the proportion equation
410,859 : 897,342 = 897,342 : x - Step 2: Convert to fraction form
410,859/897,342 = 897,342/x - Step 3: Cross multiply
410,859x = 897,342 × 897,342 - Step 4: Simplify right side
410,859x = 805,222,664,964 - Step 5: Solve for x
x = 805,222,664,964/410,859 - Step 6: Final answer
x = 1,959,851.59
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.