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Finding the Third Proportional to 571,074 and 1,228,272

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Solution

The third proportional to 571,074 and 1,228,272 is: 2,641,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,074 : 1,228,272 = 1,228,272 : x
  2. Step 2: Convert to fraction form
    571,074/1,228,272 = 1,228,272/x
  3. Step 3: Cross multiply
    571,074x = 1,228,272 × 1,228,272
  4. Step 4: Simplify right side
    571,074x = 1,508,652,105,984
  5. Step 5: Solve for x
    x = 1,508,652,105,984/571,074
  6. Step 6: Final answer
    x = 2,641,780.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.