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Finding the Third Proportional to 2,027,642.63 and 3,138,527.25

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Solution

The third proportional to 2,027,642.63 and 3,138,527.25 is: 4,858,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,642.63 : 3,138,527.25 = 3,138,527.25 : x
  2. Step 2: Convert to fraction form
    2,027,642.63/3,138,527.25 = 3,138,527.25/x
  3. Step 3: Cross multiply
    2,027,642.63x = 3,138,527.25 × 3,138,527.25
  4. Step 4: Simplify right side
    2,027,642.63x = 9,850,353,298,992.56
  5. Step 5: Solve for x
    x = 9,850,353,298,992.56/2,027,642.63
  6. Step 6: Final answer
    x = 4,858,032.27

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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.