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Finding the Third Proportional to 2,566,236.75 and 3,972,200.63

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Solution

The third proportional to 2,566,236.75 and 3,972,200.63 is: 6,148,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,236.75 : 3,972,200.63 = 3,972,200.63 : x
  2. Step 2: Convert to fraction form
    2,566,236.75/3,972,200.63 = 3,972,200.63/x
  3. Step 3: Cross multiply
    2,566,236.75x = 3,972,200.63 × 3,972,200.63
  4. Step 4: Simplify right side
    2,566,236.75x = 15,778,377,805,250.39
  5. Step 5: Solve for x
    x = 15,778,377,805,250.39/2,566,236.75
  6. Step 6: Final answer
    x = 6,148,449.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.