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Finding the Third Proportional to 2,224,000 and 4,855,872

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Solution

The third proportional to 2,224,000 and 4,855,872 is: 10,602,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,000 : 4,855,872 = 4,855,872 : x
  2. Step 2: Convert to fraction form
    2,224,000/4,855,872 = 4,855,872/x
  3. Step 3: Cross multiply
    2,224,000x = 4,855,872 × 4,855,872
  4. Step 4: Simplify right side
    2,224,000x = 23,579,492,880,384
  5. Step 5: Solve for x
    x = 23,579,492,880,384/2,224,000
  6. Step 6: Final answer
    x = 10,602,289.96

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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.