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Finding the Third Proportional to 2,706,961 and 6,019,151

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Solution

The third proportional to 2,706,961 and 6,019,151 is: 13,384,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,961 : 6,019,151 = 6,019,151 : x
  2. Step 2: Convert to fraction form
    2,706,961/6,019,151 = 6,019,151/x
  3. Step 3: Cross multiply
    2,706,961x = 6,019,151 × 6,019,151
  4. Step 4: Simplify right side
    2,706,961x = 36,230,178,760,801
  5. Step 5: Solve for x
    x = 36,230,178,760,801/2,706,961
  6. Step 6: Final answer
    x = 13,384,078.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.