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Finding the Third Proportional to 2,629,154 and 5,656,828

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Solution

The third proportional to 2,629,154 and 5,656,828 is: 12,171,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629,154 : 5,656,828 = 5,656,828 : x
  2. Step 2: Convert to fraction form
    2,629,154/5,656,828 = 5,656,828/x
  3. Step 3: Cross multiply
    2,629,154x = 5,656,828 × 5,656,828
  4. Step 4: Simplify right side
    2,629,154x = 31,999,703,021,584
  5. Step 5: Solve for x
    x = 31,999,703,021,584/2,629,154
  6. Step 6: Final answer
    x = 12,171,102.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.