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Finding the Third Proportional to 743,028 and 1,628,448

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Solution

The third proportional to 743,028 and 1,628,448 is: 3,568,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,028 : 1,628,448 = 1,628,448 : x
  2. Step 2: Convert to fraction form
    743,028/1,628,448 = 1,628,448/x
  3. Step 3: Cross multiply
    743,028x = 1,628,448 × 1,628,448
  4. Step 4: Simplify right side
    743,028x = 2,651,842,888,704
  5. Step 5: Solve for x
    x = 2,651,842,888,704/743,028
  6. Step 6: Final answer
    x = 3,568,967.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.