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Finding the Third Proportional to 810,831 and 1,271,947.50

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Solution

The third proportional to 810,831 and 1,271,947.50 is: 1,995,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,831 : 1,271,947.50 = 1,271,947.50 : x
  2. Step 2: Convert to fraction form
    810,831/1,271,947.50 = 1,271,947.50/x
  3. Step 3: Cross multiply
    810,831x = 1,271,947.50 × 1,271,947.50
  4. Step 4: Simplify right side
    810,831x = 1,617,850,442,756.25
  5. Step 5: Solve for x
    x = 1,617,850,442,756.25/810,831
  6. Step 6: Final answer
    x = 1,995,299.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.