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Finding the Third Proportional to 1,199,200 and 2,553,768

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Solution

The third proportional to 1,199,200 and 2,553,768 is: 5,438,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,200 : 2,553,768 = 2,553,768 : x
  2. Step 2: Convert to fraction form
    1,199,200/2,553,768 = 2,553,768/x
  3. Step 3: Cross multiply
    1,199,200x = 2,553,768 × 2,553,768
  4. Step 4: Simplify right side
    1,199,200x = 6,521,730,997,824
  5. Step 5: Solve for x
    x = 6,521,730,997,824/1,199,200
  6. Step 6: Final answer
    x = 5,438,401.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.