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Finding the Third Proportional to 643,380 and 1,375,096

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Solution

The third proportional to 643,380 and 1,375,096 is: 2,938,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,380 : 1,375,096 = 1,375,096 : x
  2. Step 2: Convert to fraction form
    643,380/1,375,096 = 1,375,096/x
  3. Step 3: Cross multiply
    643,380x = 1,375,096 × 1,375,096
  4. Step 4: Simplify right side
    643,380x = 1,890,889,009,216
  5. Step 5: Solve for x
    x = 1,890,889,009,216/643,380
  6. Step 6: Final answer
    x = 2,938,992.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.