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Finding the Third Proportional to 1,560,771.75 and 3,419,795.63

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Solution

The third proportional to 1,560,771.75 and 3,419,795.63 is: 7,493,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,771.75 : 3,419,795.63 = 3,419,795.63 : x
  2. Step 2: Convert to fraction form
    1,560,771.75/3,419,795.63 = 3,419,795.63/x
  3. Step 3: Cross multiply
    1,560,771.75x = 3,419,795.63 × 3,419,795.63
  4. Step 4: Simplify right side
    1,560,771.75x = 11,695,002,116,769.14
  5. Step 5: Solve for x
    x = 11,695,002,116,769.14/1,560,771.75
  6. Step 6: Final answer
    x = 7,493,089.31

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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.