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Finding the Third Proportional to 1,196,919 and 2,561,994

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Solution

The third proportional to 1,196,919 and 2,561,994 is: 5,483,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,919 : 2,561,994 = 2,561,994 : x
  2. Step 2: Convert to fraction form
    1,196,919/2,561,994 = 2,561,994/x
  3. Step 3: Cross multiply
    1,196,919x = 2,561,994 × 2,561,994
  4. Step 4: Simplify right side
    1,196,919x = 6,563,813,256,036
  5. Step 5: Solve for x
    x = 6,563,813,256,036/1,196,919
  6. Step 6: Final answer
    x = 5,483,924.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.