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Finding the Third Proportional to 571,796 and 1,222,284

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Solution

The third proportional to 571,796 and 1,222,284 is: 2,612,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,796 : 1,222,284 = 1,222,284 : x
  2. Step 2: Convert to fraction form
    571,796/1,222,284 = 1,222,284/x
  3. Step 3: Cross multiply
    571,796x = 1,222,284 × 1,222,284
  4. Step 4: Simplify right side
    571,796x = 1,493,978,176,656
  5. Step 5: Solve for x
    x = 1,493,978,176,656/571,796
  6. Step 6: Final answer
    x = 2,612,781.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.