Finding the Third Proportional to 970,796 and 1,519,569
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Solution
The third proportional to 970,796 and 1,519,569 is: 2,378,553.21
Step by Step Solution
- Step 1: Write the proportion equation
970,796 : 1,519,569 = 1,519,569 : x - Step 2: Convert to fraction form
970,796/1,519,569 = 1,519,569/x - Step 3: Cross multiply
970,796x = 1,519,569 × 1,519,569 - Step 4: Simplify right side
970,796x = 2,309,089,945,761 - Step 5: Solve for x
x = 2,309,089,945,761/970,796 - Step 6: Final answer
x = 2,378,553.21
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.