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Finding the Third Proportional to 4,211,770 and 6,159,698

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Solution

The third proportional to 4,211,770 and 6,159,698 is: 9,008,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,770 : 6,159,698 = 6,159,698 : x
  2. Step 2: Convert to fraction form
    4,211,770/6,159,698 = 6,159,698/x
  3. Step 3: Cross multiply
    4,211,770x = 6,159,698 × 6,159,698
  4. Step 4: Simplify right side
    4,211,770x = 37,941,879,451,204
  5. Step 5: Solve for x
    x = 37,941,879,451,204/4,211,770
  6. Step 6: Final answer
    x = 9,008,535.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.