Finding the Third Proportional to 530,986 and 1,146,416
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Solution
The third proportional to 530,986 and 1,146,416 is: 2,475,149.34
Step by Step Solution
- Step 1: Write the proportion equation
530,986 : 1,146,416 = 1,146,416 : x - Step 2: Convert to fraction form
530,986/1,146,416 = 1,146,416/x - Step 3: Cross multiply
530,986x = 1,146,416 × 1,146,416 - Step 4: Simplify right side
530,986x = 1,314,269,645,056 - Step 5: Solve for x
x = 1,314,269,645,056/530,986 - Step 6: Final answer
x = 2,475,149.34
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.