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Finding the Third Proportional to 2,401,461 and 5,250,892.50

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Solution

The third proportional to 2,401,461 and 5,250,892.50 is: 11,481,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,461 : 5,250,892.50 = 5,250,892.50 : x
  2. Step 2: Convert to fraction form
    2,401,461/5,250,892.50 = 5,250,892.50/x
  3. Step 3: Cross multiply
    2,401,461x = 5,250,892.50 × 5,250,892.50
  4. Step 4: Simplify right side
    2,401,461x = 27,571,872,046,556.25
  5. Step 5: Solve for x
    x = 27,571,872,046,556.25/2,401,461
  6. Step 6: Final answer
    x = 11,481,290.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.