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Finding the Third Proportional to 752,967 and 1,468,107

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Solution

The third proportional to 752,967 and 1,468,107 is: 2,862,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,967 : 1,468,107 = 1,468,107 : x
  2. Step 2: Convert to fraction form
    752,967/1,468,107 = 1,468,107/x
  3. Step 3: Cross multiply
    752,967x = 1,468,107 × 1,468,107
  4. Step 4: Simplify right side
    752,967x = 2,155,338,163,449
  5. Step 5: Solve for x
    x = 2,155,338,163,449/752,967
  6. Step 6: Final answer
    x = 2,862,460.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.