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Finding the Third Proportional to 2,028,539 and 4,283,431

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Solution

The third proportional to 2,028,539 and 4,283,431 is: 9,044,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028,539 : 4,283,431 = 4,283,431 : x
  2. Step 2: Convert to fraction form
    2,028,539/4,283,431 = 4,283,431/x
  3. Step 3: Cross multiply
    2,028,539x = 4,283,431 × 4,283,431
  4. Step 4: Simplify right side
    2,028,539x = 18,347,781,131,761
  5. Step 5: Solve for x
    x = 18,347,781,131,761/2,028,539
  6. Step 6: Final answer
    x = 9,044,825.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.