Finding the Third Proportional to 970,738 and 1,469,692
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Solution
The third proportional to 970,738 and 1,469,692 is: 2,225,105.62
Step by Step Solution
- Step 1: Write the proportion equation
970,738 : 1,469,692 = 1,469,692 : x - Step 2: Convert to fraction form
970,738/1,469,692 = 1,469,692/x - Step 3: Cross multiply
970,738x = 1,469,692 × 1,469,692 - Step 4: Simplify right side
970,738x = 2,159,994,574,864 - Step 5: Solve for x
x = 2,159,994,574,864/970,738 - Step 6: Final answer
x = 2,225,105.62
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.