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Finding the Third Proportional to 3,665,081.25 and 4,819,651.88

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Solution

The third proportional to 3,665,081.25 and 4,819,651.88 is: 6,337,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665,081.25 : 4,819,651.88 = 4,819,651.88 : x
  2. Step 2: Convert to fraction form
    3,665,081.25/4,819,651.88 = 4,819,651.88/x
  3. Step 3: Cross multiply
    3,665,081.25x = 4,819,651.88 × 4,819,651.88
  4. Step 4: Simplify right side
    3,665,081.25x = 23,229,044,196,191.02
  5. Step 5: Solve for x
    x = 23,229,044,196,191.02/3,665,081.25
  6. Step 6: Final answer
    x = 6,337,934.31

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.