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Finding the Third Proportional to 756,448 and 1,619,928

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Solution

The third proportional to 756,448 and 1,619,928 is: 3,469,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,448 : 1,619,928 = 1,619,928 : x
  2. Step 2: Convert to fraction form
    756,448/1,619,928 = 1,619,928/x
  3. Step 3: Cross multiply
    756,448x = 1,619,928 × 1,619,928
  4. Step 4: Simplify right side
    756,448x = 2,624,166,725,184
  5. Step 5: Solve for x
    x = 2,624,166,725,184/756,448
  6. Step 6: Final answer
    x = 3,469,064.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.