Finding the Third Proportional to 946,401 and 1,430,892
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Solution
The third proportional to 946,401 and 1,430,892 is: 2,163,408.44
Step by Step Solution
- Step 1: Write the proportion equation
946,401 : 1,430,892 = 1,430,892 : x - Step 2: Convert to fraction form
946,401/1,430,892 = 1,430,892/x - Step 3: Cross multiply
946,401x = 1,430,892 × 1,430,892 - Step 4: Simplify right side
946,401x = 2,047,451,915,664 - Step 5: Solve for x
x = 2,047,451,915,664/946,401 - Step 6: Final answer
x = 2,163,408.44
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.