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Finding the Third Proportional to 2,291,888.50 and 4,856,975

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Solution

The third proportional to 2,291,888.50 and 4,856,975 is: 10,292,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,888.50 : 4,856,975 = 4,856,975 : x
  2. Step 2: Convert to fraction form
    2,291,888.50/4,856,975 = 4,856,975/x
  3. Step 3: Cross multiply
    2,291,888.50x = 4,856,975 × 4,856,975
  4. Step 4: Simplify right side
    2,291,888.50x = 23,590,206,150,625
  5. Step 5: Solve for x
    x = 23,590,206,150,625/2,291,888.50
  6. Step 6: Final answer
    x = 10,292,911.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.