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Finding the Third Proportional to 752,634 and 1,627,947

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Solution

The third proportional to 752,634 and 1,627,947 is: 3,521,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,634 : 1,627,947 = 1,627,947 : x
  2. Step 2: Convert to fraction form
    752,634/1,627,947 = 1,627,947/x
  3. Step 3: Cross multiply
    752,634x = 1,627,947 × 1,627,947
  4. Step 4: Simplify right side
    752,634x = 2,650,211,434,809
  5. Step 5: Solve for x
    x = 2,650,211,434,809/752,634
  6. Step 6: Final answer
    x = 3,521,248.62

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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.