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Finding the Third Proportional to 1,743,229.50 and 3,795,231

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Solution

The third proportional to 1,743,229.50 and 3,795,231 is: 8,262,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,229.50 : 3,795,231 = 3,795,231 : x
  2. Step 2: Convert to fraction form
    1,743,229.50/3,795,231 = 3,795,231/x
  3. Step 3: Cross multiply
    1,743,229.50x = 3,795,231 × 3,795,231
  4. Step 4: Simplify right side
    1,743,229.50x = 14,403,778,343,361
  5. Step 5: Solve for x
    x = 14,403,778,343,361/1,743,229.50
  6. Step 6: Final answer
    x = 8,262,697.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.