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Finding the Third Proportional to 785,728 and 1,725,768

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Solution

The third proportional to 785,728 and 1,725,768 is: 3,790,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,728 : 1,725,768 = 1,725,768 : x
  2. Step 2: Convert to fraction form
    785,728/1,725,768 = 1,725,768/x
  3. Step 3: Cross multiply
    785,728x = 1,725,768 × 1,725,768
  4. Step 4: Simplify right side
    785,728x = 2,978,275,189,824
  5. Step 5: Solve for x
    x = 2,978,275,189,824/785,728
  6. Step 6: Final answer
    x = 3,790,465.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.