Finding the Third Proportional to 646,670 and 978,952
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Solution
The third proportional to 646,670 and 978,952 is: 1,481,972.29
Step by Step Solution
- Step 1: Write the proportion equation
646,670 : 978,952 = 978,952 : x - Step 2: Convert to fraction form
646,670/978,952 = 978,952/x - Step 3: Cross multiply
646,670x = 978,952 × 978,952 - Step 4: Simplify right side
646,670x = 958,347,018,304 - Step 5: Solve for x
x = 958,347,018,304/646,670 - Step 6: Final answer
x = 1,481,972.29
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.