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Finding the Third Proportional to 591,953.06 and 1,302,004.13

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Solution

The third proportional to 591,953.06 and 1,302,004.13 is: 2,863,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,953.06 : 1,302,004.13 = 1,302,004.13 : x
  2. Step 2: Convert to fraction form
    591,953.06/1,302,004.13 = 1,302,004.13/x
  3. Step 3: Cross multiply
    591,953.06x = 1,302,004.13 × 1,302,004.13
  4. Step 4: Simplify right side
    591,953.06x = 1,695,214,741,517.02
  5. Step 5: Solve for x
    x = 1,695,214,741,517.02/591,953.06
  6. Step 6: Final answer
    x = 2,863,765.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.