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Finding the Third Proportional to 858,401 and 1,358,936

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Solution

The third proportional to 858,401 and 1,358,936 is: 2,151,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,401 : 1,358,936 = 1,358,936 : x
  2. Step 2: Convert to fraction form
    858,401/1,358,936 = 1,358,936/x
  3. Step 3: Cross multiply
    858,401x = 1,358,936 × 1,358,936
  4. Step 4: Simplify right side
    858,401x = 1,846,707,052,096
  5. Step 5: Solve for x
    x = 1,846,707,052,096/858,401
  6. Step 6: Final answer
    x = 2,151,333.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.