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Finding the Third Proportional to 3,814,807 and 5,347,234

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Solution

The third proportional to 3,814,807 and 5,347,234 is: 7,495,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,807 : 5,347,234 = 5,347,234 : x
  2. Step 2: Convert to fraction form
    3,814,807/5,347,234 = 5,347,234/x
  3. Step 3: Cross multiply
    3,814,807x = 5,347,234 × 5,347,234
  4. Step 4: Simplify right side
    3,814,807x = 28,592,911,450,756
  5. Step 5: Solve for x
    x = 28,592,911,450,756/3,814,807
  6. Step 6: Final answer
    x = 7,495,244.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.