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Finding the Third Proportional to 571,078 and 1,228,279

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Solution

The third proportional to 571,078 and 1,228,279 is: 2,641,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,078 : 1,228,279 = 1,228,279 : x
  2. Step 2: Convert to fraction form
    571,078/1,228,279 = 1,228,279/x
  3. Step 3: Cross multiply
    571,078x = 1,228,279 × 1,228,279
  4. Step 4: Simplify right side
    571,078x = 1,508,669,301,841
  5. Step 5: Solve for x
    x = 1,508,669,301,841/571,078
  6. Step 6: Final answer
    x = 2,641,792.02

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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.