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Finding the Third Proportional to 1,197,295.88 and 2,571,738.75

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Solution

The third proportional to 1,197,295.88 and 2,571,738.75 is: 5,523,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,295.88 : 2,571,738.75 = 2,571,738.75 : x
  2. Step 2: Convert to fraction form
    1,197,295.88/2,571,738.75 = 2,571,738.75/x
  3. Step 3: Cross multiply
    1,197,295.88x = 2,571,738.75 × 2,571,738.75
  4. Step 4: Simplify right side
    1,197,295.88x = 6,613,840,198,251.56
  5. Step 5: Solve for x
    x = 6,613,840,198,251.56/1,197,295.88
  6. Step 6: Final answer
    x = 5,523,981.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.