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Finding the Third Proportional to 628,180 and 1,375,984

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Solution

The third proportional to 628,180 and 1,375,984 is: 3,013,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,180 : 1,375,984 = 1,375,984 : x
  2. Step 2: Convert to fraction form
    628,180/1,375,984 = 1,375,984/x
  3. Step 3: Cross multiply
    628,180x = 1,375,984 × 1,375,984
  4. Step 4: Simplify right side
    628,180x = 1,893,331,968,256
  5. Step 5: Solve for x
    x = 1,893,331,968,256/628,180
  6. Step 6: Final answer
    x = 3,013,995.94

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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.