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Finding the Third Proportional to 616,619 and 1,344,997

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Solution

The third proportional to 616,619 and 1,344,997 is: 2,933,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,619 : 1,344,997 = 1,344,997 : x
  2. Step 2: Convert to fraction form
    616,619/1,344,997 = 1,344,997/x
  3. Step 3: Cross multiply
    616,619x = 1,344,997 × 1,344,997
  4. Step 4: Simplify right side
    616,619x = 1,809,016,930,009
  5. Step 5: Solve for x
    x = 1,809,016,930,009/616,619
  6. Step 6: Final answer
    x = 2,933,767.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.