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Finding the Third Proportional to 435,852 and 951,408

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Solution

The third proportional to 435,852 and 951,408 is: 2,076,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,852 : 951,408 = 951,408 : x
  2. Step 2: Convert to fraction form
    435,852/951,408 = 951,408/x
  3. Step 3: Cross multiply
    435,852x = 951,408 × 951,408
  4. Step 4: Simplify right side
    435,852x = 905,177,182,464
  5. Step 5: Solve for x
    x = 905,177,182,464/435,852
  6. Step 6: Final answer
    x = 2,076,799.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.