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Finding the Third Proportional to 2,549,571.75 and 3,953,604.75

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Solution

The third proportional to 2,549,571.75 and 3,953,604.75 is: 6,130,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,571.75 : 3,953,604.75 = 3,953,604.75 : x
  2. Step 2: Convert to fraction form
    2,549,571.75/3,953,604.75 = 3,953,604.75/x
  3. Step 3: Cross multiply
    2,549,571.75x = 3,953,604.75 × 3,953,604.75
  4. Step 4: Simplify right side
    2,549,571.75x = 15,630,990,519,222.56
  5. Step 5: Solve for x
    x = 15,630,990,519,222.56/2,549,571.75
  6. Step 6: Final answer
    x = 6,130,829.82

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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.