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Finding the Third Proportional to 467,728 and 1,028,768

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Solution

The third proportional to 467,728 and 1,028,768 is: 2,262,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,728 : 1,028,768 = 1,028,768 : x
  2. Step 2: Convert to fraction form
    467,728/1,028,768 = 1,028,768/x
  3. Step 3: Cross multiply
    467,728x = 1,028,768 × 1,028,768
  4. Step 4: Simplify right side
    467,728x = 1,058,363,597,824
  5. Step 5: Solve for x
    x = 1,058,363,597,824/467,728
  6. Step 6: Final answer
    x = 2,262,775.80

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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.