Finding the Third Proportional to 465,146 and 1,004,642
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Solution
The third proportional to 465,146 and 1,004,642 is: 2,169,868.27
Step by Step Solution
- Step 1: Write the proportion equation
465,146 : 1,004,642 = 1,004,642 : x - Step 2: Convert to fraction form
465,146/1,004,642 = 1,004,642/x - Step 3: Cross multiply
465,146x = 1,004,642 × 1,004,642 - Step 4: Simplify right side
465,146x = 1,009,305,548,164 - Step 5: Solve for x
x = 1,009,305,548,164/465,146 - Step 6: Final answer
x = 2,169,868.27
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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.