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Finding the Third Proportional to 619,262.44 and 926,010.56

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Solution

The third proportional to 619,262.44 and 926,010.56 is: 1,384,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,262.44 : 926,010.56 = 926,010.56 : x
  2. Step 2: Convert to fraction form
    619,262.44/926,010.56 = 926,010.56/x
  3. Step 3: Cross multiply
    619,262.44x = 926,010.56 × 926,010.56
  4. Step 4: Simplify right side
    619,262.44x = 857,495,561,861.57
  5. Step 5: Solve for x
    x = 857,495,561,861.57/619,262.44
  6. Step 6: Final answer
    x = 1,384,704.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.