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Finding the Third Proportional to 591,574 and 1,295,096

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Solution

The third proportional to 591,574 and 1,295,096 is: 2,835,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,574 : 1,295,096 = 1,295,096 : x
  2. Step 2: Convert to fraction form
    591,574/1,295,096 = 1,295,096/x
  3. Step 3: Cross multiply
    591,574x = 1,295,096 × 1,295,096
  4. Step 4: Simplify right side
    591,574x = 1,677,273,649,216
  5. Step 5: Solve for x
    x = 1,677,273,649,216/591,574
  6. Step 6: Final answer
    x = 2,835,272.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.