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Finding the Third Proportional to 2,477,228 and 5,024,478

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Solution

The third proportional to 2,477,228 and 5,024,478 is: 10,190,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,228 : 5,024,478 = 5,024,478 : x
  2. Step 2: Convert to fraction form
    2,477,228/5,024,478 = 5,024,478/x
  3. Step 3: Cross multiply
    2,477,228x = 5,024,478 × 5,024,478
  4. Step 4: Simplify right side
    2,477,228x = 25,245,379,172,484
  5. Step 5: Solve for x
    x = 25,245,379,172,484/2,477,228
  6. Step 6: Final answer
    x = 10,190,979.26

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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.