Finding the Third Proportional to 464,094 and 983,097
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Solution
The third proportional to 464,094 and 983,097 is: 2,082,508.53
Step by Step Solution
- Step 1: Write the proportion equation
464,094 : 983,097 = 983,097 : x - Step 2: Convert to fraction form
464,094/983,097 = 983,097/x - Step 3: Cross multiply
464,094x = 983,097 × 983,097 - Step 4: Simplify right side
464,094x = 966,479,711,409 - Step 5: Solve for x
x = 966,479,711,409/464,094 - Step 6: Final answer
x = 2,082,508.53
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.