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Finding the Third Proportional to 2,004,816.75 and 2,896,614

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Solution

The third proportional to 2,004,816.75 and 2,896,614 is: 4,185,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,816.75 : 2,896,614 = 2,896,614 : x
  2. Step 2: Convert to fraction form
    2,004,816.75/2,896,614 = 2,896,614/x
  3. Step 3: Cross multiply
    2,004,816.75x = 2,896,614 × 2,896,614
  4. Step 4: Simplify right side
    2,004,816.75x = 8,390,372,664,996
  5. Step 5: Solve for x
    x = 8,390,372,664,996/2,004,816.75
  6. Step 6: Final answer
    x = 4,185,107.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.