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Finding the Third Proportional to 876,401 and 1,311,098

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Solution

The third proportional to 876,401 and 1,311,098 is: 1,961,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,401 : 1,311,098 = 1,311,098 : x
  2. Step 2: Convert to fraction form
    876,401/1,311,098 = 1,311,098/x
  3. Step 3: Cross multiply
    876,401x = 1,311,098 × 1,311,098
  4. Step 4: Simplify right side
    876,401x = 1,718,977,965,604
  5. Step 5: Solve for x
    x = 1,718,977,965,604/876,401
  6. Step 6: Final answer
    x = 1,961,405.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.