Finding the Third Proportional to 586,500 and 1,307,784
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Solution
The third proportional to 586,500 and 1,307,784 is: 2,916,110.81
Step by Step Solution
- Step 1: Write the proportion equation
586,500 : 1,307,784 = 1,307,784 : x - Step 2: Convert to fraction form
586,500/1,307,784 = 1,307,784/x - Step 3: Cross multiply
586,500x = 1,307,784 × 1,307,784 - Step 4: Simplify right side
586,500x = 1,710,298,990,656 - Step 5: Solve for x
x = 1,710,298,990,656/586,500 - Step 6: Final answer
x = 2,916,110.81
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.