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Finding the Third Proportional to 1,839,712 and 4,021,424

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Solution

The third proportional to 1,839,712 and 4,021,424 is: 8,790,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,712 : 4,021,424 = 4,021,424 : x
  2. Step 2: Convert to fraction form
    1,839,712/4,021,424 = 4,021,424/x
  3. Step 3: Cross multiply
    1,839,712x = 4,021,424 × 4,021,424
  4. Step 4: Simplify right side
    1,839,712x = 16,171,850,987,776
  5. Step 5: Solve for x
    x = 16,171,850,987,776/1,839,712
  6. Step 6: Final answer
    x = 8,790,425.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.