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Finding the Third Proportional to 2,477,225 and 5,024,475

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Solution

The third proportional to 2,477,225 and 5,024,475 is: 10,190,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,225 : 5,024,475 = 5,024,475 : x
  2. Step 2: Convert to fraction form
    2,477,225/5,024,475 = 5,024,475/x
  3. Step 3: Cross multiply
    2,477,225x = 5,024,475 × 5,024,475
  4. Step 4: Simplify right side
    2,477,225x = 25,245,349,025,625
  5. Step 5: Solve for x
    x = 25,245,349,025,625/2,477,225
  6. Step 6: Final answer
    x = 10,190,979.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.