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Finding the Third Proportional to 3,135,943 and 4,416,243

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Solution

The third proportional to 3,135,943 and 4,416,243 is: 6,219,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,943 : 4,416,243 = 4,416,243 : x
  2. Step 2: Convert to fraction form
    3,135,943/4,416,243 = 4,416,243/x
  3. Step 3: Cross multiply
    3,135,943x = 4,416,243 × 4,416,243
  4. Step 4: Simplify right side
    3,135,943x = 19,503,202,235,049
  5. Step 5: Solve for x
    x = 19,503,202,235,049/3,135,943
  6. Step 6: Final answer
    x = 6,219,246.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.