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Finding the Third Proportional to 3,254,633 and 6,806,698

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Solution

The third proportional to 3,254,633 and 6,806,698 is: 14,235,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254,633 : 6,806,698 = 6,806,698 : x
  2. Step 2: Convert to fraction form
    3,254,633/6,806,698 = 6,806,698/x
  3. Step 3: Cross multiply
    3,254,633x = 6,806,698 × 6,806,698
  4. Step 4: Simplify right side
    3,254,633x = 46,331,137,663,204
  5. Step 5: Solve for x
    x = 46,331,137,663,204/3,254,633
  6. Step 6: Final answer
    x = 14,235,441.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.