Finding the Third Proportional to 462,900 and 1,014,432
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Solution
The third proportional to 462,900 and 1,014,432 is: 2,223,098.47
Step by Step Solution
- Step 1: Write the proportion equation
462,900 : 1,014,432 = 1,014,432 : x - Step 2: Convert to fraction form
462,900/1,014,432 = 1,014,432/x - Step 3: Cross multiply
462,900x = 1,014,432 × 1,014,432 - Step 4: Simplify right side
462,900x = 1,029,072,282,624 - Step 5: Solve for x
x = 1,029,072,282,624/462,900 - Step 6: Final answer
x = 2,223,098.47
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.