Finding the Third Proportional to 650,894 and 978,224
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Solution
The third proportional to 650,894 and 978,224 is: 1,470,165.95
Step by Step Solution
- Step 1: Write the proportion equation
650,894 : 978,224 = 978,224 : x - Step 2: Convert to fraction form
650,894/978,224 = 978,224/x - Step 3: Cross multiply
650,894x = 978,224 × 978,224 - Step 4: Simplify right side
650,894x = 956,922,194,176 - Step 5: Solve for x
x = 956,922,194,176/650,894 - Step 6: Final answer
x = 1,470,165.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.