Finding the Third Proportional to 654,812 and 978,184
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Solution
The third proportional to 654,812 and 978,184 is: 1,461,249.85
Step by Step Solution
- Step 1: Write the proportion equation
654,812 : 978,184 = 978,184 : x - Step 2: Convert to fraction form
654,812/978,184 = 978,184/x - Step 3: Cross multiply
654,812x = 978,184 × 978,184 - Step 4: Simplify right side
654,812x = 956,843,937,856 - Step 5: Solve for x
x = 956,843,937,856/654,812 - Step 6: Final answer
x = 1,461,249.85
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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.