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Finding the Third Proportional to 640,128 and 1,395,456

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Solution

The third proportional to 640,128 and 1,395,456 is: 3,042,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,128 : 1,395,456 = 1,395,456 : x
  2. Step 2: Convert to fraction form
    640,128/1,395,456 = 1,395,456/x
  3. Step 3: Cross multiply
    640,128x = 1,395,456 × 1,395,456
  4. Step 4: Simplify right side
    640,128x = 1,947,297,447,936
  5. Step 5: Solve for x
    x = 1,947,297,447,936/640,128
  6. Step 6: Final answer
    x = 3,042,043.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.