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Finding the Third Proportional to 943,018 and 1,929,614

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Solution

The third proportional to 943,018 and 1,929,614 is: 3,948,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,018 : 1,929,614 = 1,929,614 : x
  2. Step 2: Convert to fraction form
    943,018/1,929,614 = 1,929,614/x
  3. Step 3: Cross multiply
    943,018x = 1,929,614 × 1,929,614
  4. Step 4: Simplify right side
    943,018x = 3,723,410,188,996
  5. Step 5: Solve for x
    x = 3,723,410,188,996/943,018
  6. Step 6: Final answer
    x = 3,948,397.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.