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Finding the Third Proportional to 427,200 and 909,615

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Solution

The third proportional to 427,200 and 909,615 is: 1,936,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,200 : 909,615 = 909,615 : x
  2. Step 2: Convert to fraction form
    427,200/909,615 = 909,615/x
  3. Step 3: Cross multiply
    427,200x = 909,615 × 909,615
  4. Step 4: Simplify right side
    427,200x = 827,399,448,225
  5. Step 5: Solve for x
    x = 827,399,448,225/427,200
  6. Step 6: Final answer
    x = 1,936,796.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.