Finding the Third Proportional to 463,831 and 997,780
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Solution
The third proportional to 463,831 and 997,780 is: 2,146,395.84
Step by Step Solution
- Step 1: Write the proportion equation
463,831 : 997,780 = 997,780 : x - Step 2: Convert to fraction form
463,831/997,780 = 997,780/x - Step 3: Cross multiply
463,831x = 997,780 × 997,780 - Step 4: Simplify right side
463,831x = 995,564,928,400 - Step 5: Solve for x
x = 995,564,928,400/463,831 - Step 6: Final answer
x = 2,146,395.84
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.