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Finding the Third Proportional to 4,489,738 and 6,846,690

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Solution

The third proportional to 4,489,738 and 6,846,690 is: 10,440,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,738 : 6,846,690 = 6,846,690 : x
  2. Step 2: Convert to fraction form
    4,489,738/6,846,690 = 6,846,690/x
  3. Step 3: Cross multiply
    4,489,738x = 6,846,690 × 6,846,690
  4. Step 4: Simplify right side
    4,489,738x = 46,877,163,956,100
  5. Step 5: Solve for x
    x = 46,877,163,956,100/4,489,738
  6. Step 6: Final answer
    x = 10,440,957.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.