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Finding the Third Proportional to 752,670 and 1,628,022

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Solution

The third proportional to 752,670 and 1,628,022 is: 3,521,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,670 : 1,628,022 = 1,628,022 : x
  2. Step 2: Convert to fraction form
    752,670/1,628,022 = 1,628,022/x
  3. Step 3: Cross multiply
    752,670x = 1,628,022 × 1,628,022
  4. Step 4: Simplify right side
    752,670x = 2,650,455,632,484
  5. Step 5: Solve for x
    x = 2,650,455,632,484/752,670
  6. Step 6: Final answer
    x = 3,521,404.64

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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.