Finding the Third Proportional to 596,064 and 1,162,158
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Solution
The third proportional to 596,064 and 1,162,158 is: 2,265,882.89
Step by Step Solution
- Step 1: Write the proportion equation
596,064 : 1,162,158 = 1,162,158 : x - Step 2: Convert to fraction form
596,064/1,162,158 = 1,162,158/x - Step 3: Cross multiply
596,064x = 1,162,158 × 1,162,158 - Step 4: Simplify right side
596,064x = 1,350,611,216,964 - Step 5: Solve for x
x = 1,350,611,216,964/596,064 - Step 6: Final answer
x = 2,265,882.89
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.