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Finding the Third Proportional to 571,028 and 1,269,720

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Solution

The third proportional to 571,028 and 1,269,720 is: 2,823,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,028 : 1,269,720 = 1,269,720 : x
  2. Step 2: Convert to fraction form
    571,028/1,269,720 = 1,269,720/x
  3. Step 3: Cross multiply
    571,028x = 1,269,720 × 1,269,720
  4. Step 4: Simplify right side
    571,028x = 1,612,188,878,400
  5. Step 5: Solve for x
    x = 1,612,188,878,400/571,028
  6. Step 6: Final answer
    x = 2,823,309.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.