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Finding the Third Proportional to 3,489,813 and 7,297,470

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Solution

The third proportional to 3,489,813 and 7,297,470 is: 15,259,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,813 : 7,297,470 = 7,297,470 : x
  2. Step 2: Convert to fraction form
    3,489,813/7,297,470 = 7,297,470/x
  3. Step 3: Cross multiply
    3,489,813x = 7,297,470 × 7,297,470
  4. Step 4: Simplify right side
    3,489,813x = 53,253,068,400,900
  5. Step 5: Solve for x
    x = 53,253,068,400,900/3,489,813
  6. Step 6: Final answer
    x = 15,259,576.49

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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.