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Finding the Third Proportional to 2,184,432 and 3,276,648.75

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Solution

The third proportional to 2,184,432 and 3,276,648.75 is: 4,914,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,432 : 3,276,648.75 = 3,276,648.75 : x
  2. Step 2: Convert to fraction form
    2,184,432/3,276,648.75 = 3,276,648.75/x
  3. Step 3: Cross multiply
    2,184,432x = 3,276,648.75 × 3,276,648.75
  4. Step 4: Simplify right side
    2,184,432x = 10,736,427,030,876.56
  5. Step 5: Solve for x
    x = 10,736,427,030,876.56/2,184,432
  6. Step 6: Final answer
    x = 4,914,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.