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Finding the Third Proportional to 619,408.69 and 833,613.19

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Solution

The third proportional to 619,408.69 and 833,613.19 is: 1,121,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,408.69 : 833,613.19 = 833,613.19 : x
  2. Step 2: Convert to fraction form
    619,408.69/833,613.19 = 833,613.19/x
  3. Step 3: Cross multiply
    619,408.69x = 833,613.19 × 833,613.19
  4. Step 4: Simplify right side
    619,408.69x = 694,910,946,373.91
  5. Step 5: Solve for x
    x = 694,910,946,373.91/619,408.69
  6. Step 6: Final answer
    x = 1,121,894.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.