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Finding the Third Proportional to 3,213,734 and 4,265,102

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Solution

The third proportional to 3,213,734 and 4,265,102 is: 5,660,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,734 : 4,265,102 = 4,265,102 : x
  2. Step 2: Convert to fraction form
    3,213,734/4,265,102 = 4,265,102/x
  3. Step 3: Cross multiply
    3,213,734x = 4,265,102 × 4,265,102
  4. Step 4: Simplify right side
    3,213,734x = 18,191,095,070,404
  5. Step 5: Solve for x
    x = 18,191,095,070,404/3,213,734
  6. Step 6: Final answer
    x = 5,660,423.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.