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Finding the Third Proportional to 600,134 and 920,245

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Solution

The third proportional to 600,134 and 920,245 is: 1,411,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,134 : 920,245 = 920,245 : x
  2. Step 2: Convert to fraction form
    600,134/920,245 = 920,245/x
  3. Step 3: Cross multiply
    600,134x = 920,245 × 920,245
  4. Step 4: Simplify right side
    600,134x = 846,850,860,025
  5. Step 5: Solve for x
    x = 846,850,860,025/600,134
  6. Step 6: Final answer
    x = 1,411,102.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.