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Finding the Third Proportional to 952,408.13 and 1,269,690.19

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Solution

The third proportional to 952,408.13 and 1,269,690.19 is: 1,692,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,408.13 : 1,269,690.19 = 1,269,690.19 : x
  2. Step 2: Convert to fraction form
    952,408.13/1,269,690.19 = 1,269,690.19/x
  3. Step 3: Cross multiply
    952,408.13x = 1,269,690.19 × 1,269,690.19
  4. Step 4: Simplify right side
    952,408.13x = 1,612,113,172,233.79
  5. Step 5: Solve for x
    x = 1,612,113,172,233.79/952,408.13
  6. Step 6: Final answer
    x = 1,692,670.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.