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Finding the Third Proportional to 752,013 and 1,165,005

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Solution

The third proportional to 752,013 and 1,165,005 is: 1,804,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,013 : 1,165,005 = 1,165,005 : x
  2. Step 2: Convert to fraction form
    752,013/1,165,005 = 1,165,005/x
  3. Step 3: Cross multiply
    752,013x = 1,165,005 × 1,165,005
  4. Step 4: Simplify right side
    752,013x = 1,357,236,650,025
  5. Step 5: Solve for x
    x = 1,357,236,650,025/752,013
  6. Step 6: Final answer
    x = 1,804,804.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.