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Finding the Third Proportional to 2,257,429 and 4,821,011

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Solution

The third proportional to 2,257,429 and 4,821,011 is: 10,295,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,429 : 4,821,011 = 4,821,011 : x
  2. Step 2: Convert to fraction form
    2,257,429/4,821,011 = 4,821,011/x
  3. Step 3: Cross multiply
    2,257,429x = 4,821,011 × 4,821,011
  4. Step 4: Simplify right side
    2,257,429x = 23,242,147,062,121
  5. Step 5: Solve for x
    x = 23,242,147,062,121/2,257,429
  6. Step 6: Final answer
    x = 10,295,848.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.