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Finding the Third Proportional to 410,936,814 and 959,030,847

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Solution

The third proportional to 410,936,814 and 959,030,847 is: 2,238,154,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,936,814 : 959,030,847 = 959,030,847 : x
  2. Step 2: Convert to fraction form
    410,936,814/959,030,847 = 959,030,847/x
  3. Step 3: Cross multiply
    410,936,814x = 959,030,847 × 959,030,847
  4. Step 4: Simplify right side
    410,936,814x = 919,740,165,497,537,408
  5. Step 5: Solve for x
    x = 919,740,165,497,537,408/410,936,814
  6. Step 6: Final answer
    x = 2,238,154,709.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.