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Finding the Third Proportional to 1,872,342 and 2,741,863.50

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Solution

The third proportional to 1,872,342 and 2,741,863.50 is: 4,015,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,342 : 2,741,863.50 = 2,741,863.50 : x
  2. Step 2: Convert to fraction form
    1,872,342/2,741,863.50 = 2,741,863.50/x
  3. Step 3: Cross multiply
    1,872,342x = 2,741,863.50 × 2,741,863.50
  4. Step 4: Simplify right side
    1,872,342x = 7,517,815,452,632.25
  5. Step 5: Solve for x
    x = 7,517,815,452,632.25/1,872,342
  6. Step 6: Final answer
    x = 4,015,193.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.