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Finding the Third Proportional to 752,028 and 1,540,736

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Solution

The third proportional to 752,028 and 1,540,736 is: 3,156,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,028 : 1,540,736 = 1,540,736 : x
  2. Step 2: Convert to fraction form
    752,028/1,540,736 = 1,540,736/x
  3. Step 3: Cross multiply
    752,028x = 1,540,736 × 1,540,736
  4. Step 4: Simplify right side
    752,028x = 2,373,867,421,696
  5. Step 5: Solve for x
    x = 2,373,867,421,696/752,028
  6. Step 6: Final answer
    x = 3,156,621.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.