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Finding the Third Proportional to 2,885,472 and 6,171,200

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Solution

The third proportional to 2,885,472 and 6,171,200 is: 13,198,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885,472 : 6,171,200 = 6,171,200 : x
  2. Step 2: Convert to fraction form
    2,885,472/6,171,200 = 6,171,200/x
  3. Step 3: Cross multiply
    2,885,472x = 6,171,200 × 6,171,200
  4. Step 4: Simplify right side
    2,885,472x = 38,083,709,440,000
  5. Step 5: Solve for x
    x = 38,083,709,440,000/2,885,472
  6. Step 6: Final answer
    x = 13,198,433.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.