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Finding the Third Proportional to 545,640.47 and 826,009.31

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Solution

The third proportional to 545,640.47 and 826,009.31 is: 1,250,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,640.47 : 826,009.31 = 826,009.31 : x
  2. Step 2: Convert to fraction form
    545,640.47/826,009.31 = 826,009.31/x
  3. Step 3: Cross multiply
    545,640.47x = 826,009.31 × 826,009.31
  4. Step 4: Simplify right side
    545,640.47x = 682,291,384,336.72
  5. Step 5: Solve for x
    x = 682,291,384,336.72/545,640.47
  6. Step 6: Final answer
    x = 1,250,441.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.