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Finding the Third Proportional to 2,451,024 and 3,530,232

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Solution

The third proportional to 2,451,024 and 3,530,232 is: 5,084,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,024 : 3,530,232 = 3,530,232 : x
  2. Step 2: Convert to fraction form
    2,451,024/3,530,232 = 3,530,232/x
  3. Step 3: Cross multiply
    2,451,024x = 3,530,232 × 3,530,232
  4. Step 4: Simplify right side
    2,451,024x = 12,462,537,973,824
  5. Step 5: Solve for x
    x = 12,462,537,973,824/2,451,024
  6. Step 6: Final answer
    x = 5,084,625.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.