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Finding the Third Proportional to 575,652 and 1,221,456

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Solution

The third proportional to 575,652 and 1,221,456 is: 2,591,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,652 : 1,221,456 = 1,221,456 : x
  2. Step 2: Convert to fraction form
    575,652/1,221,456 = 1,221,456/x
  3. Step 3: Cross multiply
    575,652x = 1,221,456 × 1,221,456
  4. Step 4: Simplify right side
    575,652x = 1,491,954,759,936
  5. Step 5: Solve for x
    x = 1,491,954,759,936/575,652
  6. Step 6: Final answer
    x = 2,591,765.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.