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Finding the Third Proportional to 2,223,464 and 4,848,400

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Solution

The third proportional to 2,223,464 and 4,848,400 is: 10,572,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223,464 : 4,848,400 = 4,848,400 : x
  2. Step 2: Convert to fraction form
    2,223,464/4,848,400 = 4,848,400/x
  3. Step 3: Cross multiply
    2,223,464x = 4,848,400 × 4,848,400
  4. Step 4: Simplify right side
    2,223,464x = 23,506,982,560,000
  5. Step 5: Solve for x
    x = 23,506,982,560,000/2,223,464
  6. Step 6: Final answer
    x = 10,572,234.39

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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.