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Finding the Third Proportional to 640,170 and 1,398,456

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Solution

The third proportional to 640,170 and 1,398,456 is: 3,054,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,170 : 1,398,456 = 1,398,456 : x
  2. Step 2: Convert to fraction form
    640,170/1,398,456 = 1,398,456/x
  3. Step 3: Cross multiply
    640,170x = 1,398,456 × 1,398,456
  4. Step 4: Simplify right side
    640,170x = 1,955,679,183,936
  5. Step 5: Solve for x
    x = 1,955,679,183,936/640,170
  6. Step 6: Final answer
    x = 3,054,937.26

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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.