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Finding the Third Proportional to 383,226 and 806,140

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Solution

The third proportional to 383,226 and 806,140 is: 1,695,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,226 : 806,140 = 806,140 : x
  2. Step 2: Convert to fraction form
    383,226/806,140 = 806,140/x
  3. Step 3: Cross multiply
    383,226x = 806,140 × 806,140
  4. Step 4: Simplify right side
    383,226x = 649,861,699,600
  5. Step 5: Solve for x
    x = 649,861,699,600/383,226
  6. Step 6: Final answer
    x = 1,695,766.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.