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Finding the Third Proportional to 970,063 and 2,002,401

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Solution

The third proportional to 970,063 and 2,002,401 is: 4,133,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,063 : 2,002,401 = 2,002,401 : x
  2. Step 2: Convert to fraction form
    970,063/2,002,401 = 2,002,401/x
  3. Step 3: Cross multiply
    970,063x = 2,002,401 × 2,002,401
  4. Step 4: Simplify right side
    970,063x = 4,009,609,764,801
  5. Step 5: Solve for x
    x = 4,009,609,764,801/970,063
  6. Step 6: Final answer
    x = 4,133,349.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.