Finding the Third Proportional to 411,929 and 868,144
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Solution
The third proportional to 411,929 and 868,144 is: 1,829,621.14
Step by Step Solution
- Step 1: Write the proportion equation
411,929 : 868,144 = 868,144 : x - Step 2: Convert to fraction form
411,929/868,144 = 868,144/x - Step 3: Cross multiply
411,929x = 868,144 × 868,144 - Step 4: Simplify right side
411,929x = 753,674,004,736 - Step 5: Solve for x
x = 753,674,004,736/411,929 - Step 6: Final answer
x = 1,829,621.14
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.