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Finding the Third Proportional to 2,241,010 and 4,824,884

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Solution

The third proportional to 2,241,010 and 4,824,884 is: 10,387,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,010 : 4,824,884 = 4,824,884 : x
  2. Step 2: Convert to fraction form
    2,241,010/4,824,884 = 4,824,884/x
  3. Step 3: Cross multiply
    2,241,010x = 4,824,884 × 4,824,884
  4. Step 4: Simplify right side
    2,241,010x = 23,279,505,613,456
  5. Step 5: Solve for x
    x = 23,279,505,613,456/2,241,010
  6. Step 6: Final answer
    x = 10,387,952.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.