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Finding the Third Proportional to 1,741,196 and 2,465,994

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Solution

The third proportional to 1,741,196 and 2,465,994 is: 3,492,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,196 : 2,465,994 = 2,465,994 : x
  2. Step 2: Convert to fraction form
    1,741,196/2,465,994 = 2,465,994/x
  3. Step 3: Cross multiply
    1,741,196x = 2,465,994 × 2,465,994
  4. Step 4: Simplify right side
    1,741,196x = 6,081,126,408,036
  5. Step 5: Solve for x
    x = 6,081,126,408,036/1,741,196
  6. Step 6: Final answer
    x = 3,492,499.64

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.