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Finding the Third Proportional to 1,937,667 and 4,171,467

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Solution

The third proportional to 1,937,667 and 4,171,467 is: 8,980,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,667 : 4,171,467 = 4,171,467 : x
  2. Step 2: Convert to fraction form
    1,937,667/4,171,467 = 4,171,467/x
  3. Step 3: Cross multiply
    1,937,667x = 4,171,467 × 4,171,467
  4. Step 4: Simplify right side
    1,937,667x = 17,401,136,932,089
  5. Step 5: Solve for x
    x = 17,401,136,932,089/1,937,667
  6. Step 6: Final answer
    x = 8,980,457.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.