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Finding the Third Proportional to 946,582.88 and 2,082,479.63

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Solution

The third proportional to 946,582.88 and 2,082,479.63 is: 4,581,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,582.88 : 2,082,479.63 = 2,082,479.63 : x
  2. Step 2: Convert to fraction form
    946,582.88/2,082,479.63 = 2,082,479.63/x
  3. Step 3: Cross multiply
    946,582.88x = 2,082,479.63 × 2,082,479.63
  4. Step 4: Simplify right side
    946,582.88x = 4,336,721,388,540.14
  5. Step 5: Solve for x
    x = 4,336,721,388,540.14/946,582.88
  6. Step 6: Final answer
    x = 4,581,449.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.