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Finding the Third Proportional to 1,442,560 and 3,078,198

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Solution

The third proportional to 1,442,560 and 3,078,198 is: 6,568,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,560 : 3,078,198 = 3,078,198 : x
  2. Step 2: Convert to fraction form
    1,442,560/3,078,198 = 3,078,198/x
  3. Step 3: Cross multiply
    1,442,560x = 3,078,198 × 3,078,198
  4. Step 4: Simplify right side
    1,442,560x = 9,475,302,927,204
  5. Step 5: Solve for x
    x = 9,475,302,927,204/1,442,560
  6. Step 6: Final answer
    x = 6,568,394.33

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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.