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Finding the Third Proportional to 3,414,920 and 7,431,184

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Solution

The third proportional to 3,414,920 and 7,431,184 is: 16,170,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,920 : 7,431,184 = 7,431,184 : x
  2. Step 2: Convert to fraction form
    3,414,920/7,431,184 = 7,431,184/x
  3. Step 3: Cross multiply
    3,414,920x = 7,431,184 × 7,431,184
  4. Step 4: Simplify right side
    3,414,920x = 55,222,495,641,856
  5. Step 5: Solve for x
    x = 55,222,495,641,856/3,414,920
  6. Step 6: Final answer
    x = 16,170,948.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.