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Finding the Third Proportional to 410,858,083 and 836,065,026

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Solution

The third proportional to 410,858,083 and 836,065,026 is: 1,701,328,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,858,083 : 836,065,026 = 836,065,026 : x
  2. Step 2: Convert to fraction form
    410,858,083/836,065,026 = 836,065,026/x
  3. Step 3: Cross multiply
    410,858,083x = 836,065,026 × 836,065,026
  4. Step 4: Simplify right side
    410,858,083x = 699,004,727,700,380,672
  5. Step 5: Solve for x
    x = 699,004,727,700,380,672/410,858,083
  6. Step 6: Final answer
    x = 1,701,328,893.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.