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Finding the Third Proportional to 640,216 and 1,375,320

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Solution

The third proportional to 640,216 and 1,375,320 is: 2,954,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,216 : 1,375,320 = 1,375,320 : x
  2. Step 2: Convert to fraction form
    640,216/1,375,320 = 1,375,320/x
  3. Step 3: Cross multiply
    640,216x = 1,375,320 × 1,375,320
  4. Step 4: Simplify right side
    640,216x = 1,891,505,102,400
  5. Step 5: Solve for x
    x = 1,891,505,102,400/640,216
  6. Step 6: Final answer
    x = 2,954,479.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.