Finding the Third Proportional to 649,026 and 968,139
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Solution
The third proportional to 649,026 and 968,139 is: 1,444,153.43
Step by Step Solution
- Step 1: Write the proportion equation
649,026 : 968,139 = 968,139 : x - Step 2: Convert to fraction form
649,026/968,139 = 968,139/x - Step 3: Cross multiply
649,026x = 968,139 × 968,139 - Step 4: Simplify right side
649,026x = 937,293,123,321 - Step 5: Solve for x
x = 937,293,123,321/649,026 - Step 6: Final answer
x = 1,444,153.43
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.