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Finding the Third Proportional to 903,652 and 1,882,214

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Solution

The third proportional to 903,652 and 1,882,214 is: 3,920,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,652 : 1,882,214 = 1,882,214 : x
  2. Step 2: Convert to fraction form
    903,652/1,882,214 = 1,882,214/x
  3. Step 3: Cross multiply
    903,652x = 1,882,214 × 1,882,214
  4. Step 4: Simplify right side
    903,652x = 3,542,729,541,796
  5. Step 5: Solve for x
    x = 3,542,729,541,796/903,652
  6. Step 6: Final answer
    x = 3,920,457.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.