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Finding the Third Proportional to 871,843.50 and 1,911,883.50

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Solution

The third proportional to 871,843.50 and 1,911,883.50 is: 4,192,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,843.50 : 1,911,883.50 = 1,911,883.50 : x
  2. Step 2: Convert to fraction form
    871,843.50/1,911,883.50 = 1,911,883.50/x
  3. Step 3: Cross multiply
    871,843.50x = 1,911,883.50 × 1,911,883.50
  4. Step 4: Simplify right side
    871,843.50x = 3,655,298,517,572.25
  5. Step 5: Solve for x
    x = 3,655,298,517,572.25/871,843.50
  6. Step 6: Final answer
    x = 4,192,608.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.