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Finding the Third Proportional to 1,838,197.75 and 4,039,235

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Solution

The third proportional to 1,838,197.75 and 4,039,235 is: 8,875,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,197.75 : 4,039,235 = 4,039,235 : x
  2. Step 2: Convert to fraction form
    1,838,197.75/4,039,235 = 4,039,235/x
  3. Step 3: Cross multiply
    1,838,197.75x = 4,039,235 × 4,039,235
  4. Step 4: Simplify right side
    1,838,197.75x = 16,315,419,385,225
  5. Step 5: Solve for x
    x = 16,315,419,385,225/1,838,197.75
  6. Step 6: Final answer
    x = 8,875,769.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.