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Finding the Third Proportional to 480,600 and 1,023,317

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Solution

The third proportional to 480,600 and 1,023,317 is: 2,178,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,600 : 1,023,317 = 1,023,317 : x
  2. Step 2: Convert to fraction form
    480,600/1,023,317 = 1,023,317/x
  3. Step 3: Cross multiply
    480,600x = 1,023,317 × 1,023,317
  4. Step 4: Simplify right side
    480,600x = 1,047,177,682,489
  5. Step 5: Solve for x
    x = 1,047,177,682,489/480,600
  6. Step 6: Final answer
    x = 2,178,896.55

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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.