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Finding the Third Proportional to 2,701,497 and 5,764,577

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Solution

The third proportional to 2,701,497 and 5,764,577 is: 12,300,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,497 : 5,764,577 = 5,764,577 : x
  2. Step 2: Convert to fraction form
    2,701,497/5,764,577 = 5,764,577/x
  3. Step 3: Cross multiply
    2,701,497x = 5,764,577 × 5,764,577
  4. Step 4: Simplify right side
    2,701,497x = 33,230,347,988,929
  5. Step 5: Solve for x
    x = 33,230,347,988,929/2,701,497
  6. Step 6: Final answer
    x = 12,300,716.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.