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Finding the Third Proportional to 967,069 and 1,491,201

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Solution

The third proportional to 967,069 and 1,491,201 is: 2,299,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,069 : 1,491,201 = 1,491,201 : x
  2. Step 2: Convert to fraction form
    967,069/1,491,201 = 1,491,201/x
  3. Step 3: Cross multiply
    967,069x = 1,491,201 × 1,491,201
  4. Step 4: Simplify right side
    967,069x = 2,223,680,422,401
  5. Step 5: Solve for x
    x = 2,223,680,422,401/967,069
  6. Step 6: Final answer
    x = 2,299,402.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.