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Finding the Third Proportional to 451,012 and 970,064

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Solution

The third proportional to 451,012 and 970,064 is: 2,086,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,012 : 970,064 = 970,064 : x
  2. Step 2: Convert to fraction form
    451,012/970,064 = 970,064/x
  3. Step 3: Cross multiply
    451,012x = 970,064 × 970,064
  4. Step 4: Simplify right side
    451,012x = 941,024,164,096
  5. Step 5: Solve for x
    x = 941,024,164,096/451,012
  6. Step 6: Final answer
    x = 2,086,472.56

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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.