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Finding the Third Proportional to 836,835.05 and 1,327,679.86

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Solution

The third proportional to 836,835.05 and 1,327,679.86 is: 2,106,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,835.05 : 1,327,679.86 = 1,327,679.86 : x
  2. Step 2: Convert to fraction form
    836,835.05/1,327,679.86 = 1,327,679.86/x
  3. Step 3: Cross multiply
    836,835.05x = 1,327,679.86 × 1,327,679.86
  4. Step 4: Simplify right side
    836,835.05x = 1,762,733,808,990.02
  5. Step 5: Solve for x
    x = 1,762,733,808,990.02/836,835.05
  6. Step 6: Final answer
    x = 2,106,429.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.