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Finding the Third Proportional to 444,660 and 974,064

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Solution

The third proportional to 444,660 and 974,064 is: 2,133,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,660 : 974,064 = 974,064 : x
  2. Step 2: Convert to fraction form
    444,660/974,064 = 974,064/x
  3. Step 3: Cross multiply
    444,660x = 974,064 × 974,064
  4. Step 4: Simplify right side
    444,660x = 948,800,676,096
  5. Step 5: Solve for x
    x = 948,800,676,096/444,660
  6. Step 6: Final answer
    x = 2,133,766.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.