Finding the Third Proportional to 840,000 and 1,297,152
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Solution
The third proportional to 840,000 and 1,297,152 is: 2,003,099.18
Step by Step Solution
- Step 1: Write the proportion equation
840,000 : 1,297,152 = 1,297,152 : x - Step 2: Convert to fraction form
840,000/1,297,152 = 1,297,152/x - Step 3: Cross multiply
840,000x = 1,297,152 × 1,297,152 - Step 4: Simplify right side
840,000x = 1,682,603,311,104 - Step 5: Solve for x
x = 1,682,603,311,104/840,000 - Step 6: Final answer
x = 2,003,099.18
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.