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Finding the Third Proportional to 2,197,634 and 4,750,564

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Solution

The third proportional to 2,197,634 and 4,750,564 is: 10,269,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,634 : 4,750,564 = 4,750,564 : x
  2. Step 2: Convert to fraction form
    2,197,634/4,750,564 = 4,750,564/x
  3. Step 3: Cross multiply
    2,197,634x = 4,750,564 × 4,750,564
  4. Step 4: Simplify right side
    2,197,634x = 22,567,858,318,096
  5. Step 5: Solve for x
    x = 22,567,858,318,096/2,197,634
  6. Step 6: Final answer
    x = 10,269,161.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.