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Finding the Third Proportional to 4,125,878 and 6,196,611

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Solution

The third proportional to 4,125,878 and 6,196,611 is: 9,306,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125,878 : 6,196,611 = 6,196,611 : x
  2. Step 2: Convert to fraction form
    4,125,878/6,196,611 = 6,196,611/x
  3. Step 3: Cross multiply
    4,125,878x = 6,196,611 × 6,196,611
  4. Step 4: Simplify right side
    4,125,878x = 38,397,987,885,321
  5. Step 5: Solve for x
    x = 38,397,987,885,321/4,125,878
  6. Step 6: Final answer
    x = 9,306,622.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.