Finding the Third Proportional to 654,824 and 978,202
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Solution
The third proportional to 654,824 and 978,202 is: 1,461,276.85
Step by Step Solution
- Step 1: Write the proportion equation
654,824 : 978,202 = 978,202 : x - Step 2: Convert to fraction form
654,824/978,202 = 978,202/x - Step 3: Cross multiply
654,824x = 978,202 × 978,202 - Step 4: Simplify right side
654,824x = 956,879,152,804 - Step 5: Solve for x
x = 956,879,152,804/654,824 - Step 6: Final answer
x = 1,461,276.85
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.