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Finding the Third Proportional to 601,919 and 1,336,699

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Solution

The third proportional to 601,919 and 1,336,699 is: 2,968,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,919 : 1,336,699 = 1,336,699 : x
  2. Step 2: Convert to fraction form
    601,919/1,336,699 = 1,336,699/x
  3. Step 3: Cross multiply
    601,919x = 1,336,699 × 1,336,699
  4. Step 4: Simplify right side
    601,919x = 1,786,764,216,601
  5. Step 5: Solve for x
    x = 1,786,764,216,601/601,919
  6. Step 6: Final answer
    x = 2,968,446.28

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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.