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Finding the Third Proportional to 752,348 and 1,627,406

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Solution

The third proportional to 752,348 and 1,627,406 is: 3,520,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,348 : 1,627,406 = 1,627,406 : x
  2. Step 2: Convert to fraction form
    752,348/1,627,406 = 1,627,406/x
  3. Step 3: Cross multiply
    752,348x = 1,627,406 × 1,627,406
  4. Step 4: Simplify right side
    752,348x = 2,648,450,288,836
  5. Step 5: Solve for x
    x = 2,648,450,288,836/752,348
  6. Step 6: Final answer
    x = 3,520,246.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.