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Finding the Third Proportional to 3,814,805 and 5,347,231

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Solution

The third proportional to 3,814,805 and 5,347,231 is: 7,495,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,805 : 5,347,231 = 5,347,231 : x
  2. Step 2: Convert to fraction form
    3,814,805/5,347,231 = 5,347,231/x
  3. Step 3: Cross multiply
    3,814,805x = 5,347,231 × 5,347,231
  4. Step 4: Simplify right side
    3,814,805x = 28,592,879,367,361
  5. Step 5: Solve for x
    x = 28,592,879,367,361/3,814,805
  6. Step 6: Final answer
    x = 7,495,240.09

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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.