Finding the Third Proportional to 475,494 and 1,036,283
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Solution
The third proportional to 475,494 and 1,036,283 is: 2,258,456.38
Step by Step Solution
- Step 1: Write the proportion equation
475,494 : 1,036,283 = 1,036,283 : x - Step 2: Convert to fraction form
475,494/1,036,283 = 1,036,283/x - Step 3: Cross multiply
475,494x = 1,036,283 × 1,036,283 - Step 4: Simplify right side
475,494x = 1,073,882,456,089 - Step 5: Solve for x
x = 1,073,882,456,089/475,494 - Step 6: Final answer
x = 2,258,456.38
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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.