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Finding the Third Proportional to 2,363,919 and 3,462,016

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Solution

The third proportional to 2,363,919 and 3,462,016 is: 5,070,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,919 : 3,462,016 = 3,462,016 : x
  2. Step 2: Convert to fraction form
    2,363,919/3,462,016 = 3,462,016/x
  3. Step 3: Cross multiply
    2,363,919x = 3,462,016 × 3,462,016
  4. Step 4: Simplify right side
    2,363,919x = 11,985,554,784,256
  5. Step 5: Solve for x
    x = 11,985,554,784,256/2,363,919
  6. Step 6: Final answer
    x = 5,070,205.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.