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Finding the Third Proportional to 2,224,084.50 and 4,856,049

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Solution

The third proportional to 2,224,084.50 and 4,856,049 is: 10,602,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,084.50 : 4,856,049 = 4,856,049 : x
  2. Step 2: Convert to fraction form
    2,224,084.50/4,856,049 = 4,856,049/x
  3. Step 3: Cross multiply
    2,224,084.50x = 4,856,049 × 4,856,049
  4. Step 4: Simplify right side
    2,224,084.50x = 23,581,211,890,401
  5. Step 5: Solve for x
    x = 23,581,211,890,401/2,224,084.50
  6. Step 6: Final answer
    x = 10,602,660.06

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Why These Related Problems?

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