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Finding the Third Proportional to 837,044.72 and 1,178,749.13

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Solution

The third proportional to 837,044.72 and 1,178,749.13 is: 1,659,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,044.72 : 1,178,749.13 = 1,178,749.13 : x
  2. Step 2: Convert to fraction form
    837,044.72/1,178,749.13 = 1,178,749.13/x
  3. Step 3: Cross multiply
    837,044.72x = 1,178,749.13 × 1,178,749.13
  4. Step 4: Simplify right side
    837,044.72x = 1,389,449,499,688.27
  5. Step 5: Solve for x
    x = 1,389,449,499,688.27/837,044.72
  6. Step 6: Final answer
    x = 1,659,946.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.