Finding the Third Proportional to 443,871 and 970,785
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Solution
The third proportional to 443,871 and 970,785 is: 2,123,192.36
Step by Step Solution
- Step 1: Write the proportion equation
443,871 : 970,785 = 970,785 : x - Step 2: Convert to fraction form
443,871/970,785 = 970,785/x - Step 3: Cross multiply
443,871x = 970,785 × 970,785 - Step 4: Simplify right side
443,871x = 942,423,516,225 - Step 5: Solve for x
x = 942,423,516,225/443,871 - Step 6: Final answer
x = 2,123,192.36
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.