Finding the Third Proportional to 473,847 and 1,036,264
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Solution
The third proportional to 473,847 and 1,036,264 is: 2,266,223.23
Step by Step Solution
- Step 1: Write the proportion equation
473,847 : 1,036,264 = 1,036,264 : x - Step 2: Convert to fraction form
473,847/1,036,264 = 1,036,264/x - Step 3: Cross multiply
473,847x = 1,036,264 × 1,036,264 - Step 4: Simplify right side
473,847x = 1,073,843,077,696 - Step 5: Solve for x
x = 1,073,843,077,696/473,847 - Step 6: Final answer
x = 2,266,223.23
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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.