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Finding the Third Proportional to 4,322,674 and 6,780,759

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Solution

The third proportional to 4,322,674 and 6,780,759 is: 10,636,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322,674 : 6,780,759 = 6,780,759 : x
  2. Step 2: Convert to fraction form
    4,322,674/6,780,759 = 6,780,759/x
  3. Step 3: Cross multiply
    4,322,674x = 6,780,759 × 6,780,759
  4. Step 4: Simplify right side
    4,322,674x = 45,978,692,616,081
  5. Step 5: Solve for x
    x = 45,978,692,616,081/4,322,674
  6. Step 6: Final answer
    x = 10,636,632.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.