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Finding the Third Proportional to 415,800 and 901,530

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Solution

The third proportional to 415,800 and 901,530 is: 1,954,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,800 : 901,530 = 901,530 : x
  2. Step 2: Convert to fraction form
    415,800/901,530 = 901,530/x
  3. Step 3: Cross multiply
    415,800x = 901,530 × 901,530
  4. Step 4: Simplify right side
    415,800x = 812,756,340,900
  5. Step 5: Solve for x
    x = 812,756,340,900/415,800
  6. Step 6: Final answer
    x = 1,954,680.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.