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Finding the Third Proportional to 777,739 and 1,617,558

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Solution

The third proportional to 777,739 and 1,617,558 is: 3,364,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,739 : 1,617,558 = 1,617,558 : x
  2. Step 2: Convert to fraction form
    777,739/1,617,558 = 1,617,558/x
  3. Step 3: Cross multiply
    777,739x = 1,617,558 × 1,617,558
  4. Step 4: Simplify right side
    777,739x = 2,616,493,883,364
  5. Step 5: Solve for x
    x = 2,616,493,883,364/777,739
  6. Step 6: Final answer
    x = 3,364,231.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.