Finding the Third Proportional to 472,470 and 1,036,794
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Solution
The third proportional to 472,470 and 1,036,794 is: 2,275,153.55
Step by Step Solution
- Step 1: Write the proportion equation
472,470 : 1,036,794 = 1,036,794 : x - Step 2: Convert to fraction form
472,470/1,036,794 = 1,036,794/x - Step 3: Cross multiply
472,470x = 1,036,794 × 1,036,794 - Step 4: Simplify right side
472,470x = 1,074,941,798,436 - Step 5: Solve for x
x = 1,074,941,798,436/472,470 - Step 6: Final answer
x = 2,275,153.55
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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.