Finding the Third Proportional to 540,974 and 1,156,996
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Solution
The third proportional to 540,974 and 1,156,996 is: 2,474,499.23
Step by Step Solution
- Step 1: Write the proportion equation
540,974 : 1,156,996 = 1,156,996 : x - Step 2: Convert to fraction form
540,974/1,156,996 = 1,156,996/x - Step 3: Cross multiply
540,974x = 1,156,996 × 1,156,996 - Step 4: Simplify right side
540,974x = 1,338,639,744,016 - Step 5: Solve for x
x = 1,338,639,744,016/540,974 - Step 6: Final answer
x = 2,474,499.23
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.