Finding the Third Proportional to 471,946 and 1,018,964
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Solution
The third proportional to 471,946 and 1,018,964 is: 2,200,013.63
Step by Step Solution
- Step 1: Write the proportion equation
471,946 : 1,018,964 = 1,018,964 : x - Step 2: Convert to fraction form
471,946/1,018,964 = 1,018,964/x - Step 3: Cross multiply
471,946x = 1,018,964 × 1,018,964 - Step 4: Simplify right side
471,946x = 1,038,287,633,296 - Step 5: Solve for x
x = 1,038,287,633,296/471,946 - Step 6: Final answer
x = 2,200,013.63
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.