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Finding the Third Proportional to 571,802 and 1,222,296

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Solution

The third proportional to 571,802 and 1,222,296 is: 2,612,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,802 : 1,222,296 = 1,222,296 : x
  2. Step 2: Convert to fraction form
    571,802/1,222,296 = 1,222,296/x
  3. Step 3: Cross multiply
    571,802x = 1,222,296 × 1,222,296
  4. Step 4: Simplify right side
    571,802x = 1,494,007,511,616
  5. Step 5: Solve for x
    x = 1,494,007,511,616/571,802
  6. Step 6: Final answer
    x = 2,612,805.68

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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.