Finding the Third Proportional to 463,605 and 993,747
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Solution
The third proportional to 463,605 and 993,747 is: 2,130,117.45
Step by Step Solution
- Step 1: Write the proportion equation
463,605 : 993,747 = 993,747 : x - Step 2: Convert to fraction form
463,605/993,747 = 993,747/x - Step 3: Cross multiply
463,605x = 993,747 × 993,747 - Step 4: Simplify right side
463,605x = 987,533,100,009 - Step 5: Solve for x
x = 987,533,100,009/463,605 - Step 6: Final answer
x = 2,130,117.45
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.