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Finding the Third Proportional to 4,471,874 and 6,973,491

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Solution

The third proportional to 4,471,874 and 6,973,491 is: 10,874,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471,874 : 6,973,491 = 6,973,491 : x
  2. Step 2: Convert to fraction form
    4,471,874/6,973,491 = 6,973,491/x
  3. Step 3: Cross multiply
    4,471,874x = 6,973,491 × 6,973,491
  4. Step 4: Simplify right side
    4,471,874x = 48,629,576,727,081
  5. Step 5: Solve for x
    x = 48,629,576,727,081/4,471,874
  6. Step 6: Final answer
    x = 10,874,540.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.