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Finding the Third Proportional to 2,289,584 and 4,972,800

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Solution

The third proportional to 2,289,584 and 4,972,800 is: 10,800,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,584 : 4,972,800 = 4,972,800 : x
  2. Step 2: Convert to fraction form
    2,289,584/4,972,800 = 4,972,800/x
  3. Step 3: Cross multiply
    2,289,584x = 4,972,800 × 4,972,800
  4. Step 4: Simplify right side
    2,289,584x = 24,728,739,840,000
  5. Step 5: Solve for x
    x = 24,728,739,840,000/2,289,584
  6. Step 6: Final answer
    x = 10,800,538.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.