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Finding the Third Proportional to 3,476,814 and 5,378,943

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Solution

The third proportional to 3,476,814 and 5,378,943 is: 8,321,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,814 : 5,378,943 = 5,378,943 : x
  2. Step 2: Convert to fraction form
    3,476,814/5,378,943 = 5,378,943/x
  3. Step 3: Cross multiply
    3,476,814x = 5,378,943 × 5,378,943
  4. Step 4: Simplify right side
    3,476,814x = 28,933,027,797,249
  5. Step 5: Solve for x
    x = 28,933,027,797,249/3,476,814
  6. Step 6: Final answer
    x = 8,321,707.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.