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Finding the Third Proportional to 829,777.75 and 1,810,353.75

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Solution

The third proportional to 829,777.75 and 1,810,353.75 is: 3,949,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,777.75 : 1,810,353.75 = 1,810,353.75 : x
  2. Step 2: Convert to fraction form
    829,777.75/1,810,353.75 = 1,810,353.75/x
  3. Step 3: Cross multiply
    829,777.75x = 1,810,353.75 × 1,810,353.75
  4. Step 4: Simplify right side
    829,777.75x = 3,277,380,700,139.06
  5. Step 5: Solve for x
    x = 3,277,380,700,139.06/829,777.75
  6. Step 6: Final answer
    x = 3,949,709.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.