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Finding the Third Proportional to 474,104 and 1,036,768

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Solution

The third proportional to 474,104 and 1,036,768 is: 2,267,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,104 : 1,036,768 = 1,036,768 : x
  2. Step 2: Convert to fraction form
    474,104/1,036,768 = 1,036,768/x
  3. Step 3: Cross multiply
    474,104x = 1,036,768 × 1,036,768
  4. Step 4: Simplify right side
    474,104x = 1,074,887,885,824
  5. Step 5: Solve for x
    x = 1,074,887,885,824/474,104
  6. Step 6: Final answer
    x = 2,267,198.52

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