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Finding the Third Proportional to 591,052 and 1,260,728

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Solution

The third proportional to 591,052 and 1,260,728 is: 2,689,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,052 : 1,260,728 = 1,260,728 : x
  2. Step 2: Convert to fraction form
    591,052/1,260,728 = 1,260,728/x
  3. Step 3: Cross multiply
    591,052x = 1,260,728 × 1,260,728
  4. Step 4: Simplify right side
    591,052x = 1,589,435,089,984
  5. Step 5: Solve for x
    x = 1,589,435,089,984/591,052
  6. Step 6: Final answer
    x = 2,689,162.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.