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Finding the Third Proportional to 480,761 and 1,025,867

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Solution

The third proportional to 480,761 and 1,025,867 is: 2,189,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,761 : 1,025,867 = 1,025,867 : x
  2. Step 2: Convert to fraction form
    480,761/1,025,867 = 1,025,867/x
  3. Step 3: Cross multiply
    480,761x = 1,025,867 × 1,025,867
  4. Step 4: Simplify right side
    480,761x = 1,052,403,101,689
  5. Step 5: Solve for x
    x = 1,052,403,101,689/480,761
  6. Step 6: Final answer
    x = 2,189,035.93

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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.