Finding the Third Proportional to 443,070 and 971,911
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Solution
The third proportional to 443,070 and 971,911 is: 2,131,967.84
Step by Step Solution
- Step 1: Write the proportion equation
443,070 : 971,911 = 971,911 : x - Step 2: Convert to fraction form
443,070/971,911 = 971,911/x - Step 3: Cross multiply
443,070x = 971,911 × 971,911 - Step 4: Simplify right side
443,070x = 944,610,991,921 - Step 5: Solve for x
x = 944,610,991,921/443,070 - Step 6: Final answer
x = 2,131,967.84
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.