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Finding the Third Proportional to 640,180 and 1,398,476

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Solution

The third proportional to 640,180 and 1,398,476 is: 3,054,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,180 : 1,398,476 = 1,398,476 : x
  2. Step 2: Convert to fraction form
    640,180/1,398,476 = 1,398,476/x
  3. Step 3: Cross multiply
    640,180x = 1,398,476 × 1,398,476
  4. Step 4: Simplify right side
    640,180x = 1,955,735,122,576
  5. Step 5: Solve for x
    x = 1,955,735,122,576/640,180
  6. Step 6: Final answer
    x = 3,054,976.92

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Why These Related Problems?

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