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Finding the Third Proportional to 1,467,648 and 3,101,184

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Solution

The third proportional to 1,467,648 and 3,101,184 is: 6,552,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,648 : 3,101,184 = 3,101,184 : x
  2. Step 2: Convert to fraction form
    1,467,648/3,101,184 = 3,101,184/x
  3. Step 3: Cross multiply
    1,467,648x = 3,101,184 × 3,101,184
  4. Step 4: Simplify right side
    1,467,648x = 9,617,342,201,856
  5. Step 5: Solve for x
    x = 9,617,342,201,856/1,467,648
  6. Step 6: Final answer
    x = 6,552,894.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.