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Finding the Third Proportional to 568,176.12 and 1,226,482.24

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Solution

The third proportional to 568,176.12 and 1,226,482.24 is: 2,647,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,176.12 : 1,226,482.24 = 1,226,482.24 : x
  2. Step 2: Convert to fraction form
    568,176.12/1,226,482.24 = 1,226,482.24/x
  3. Step 3: Cross multiply
    568,176.12x = 1,226,482.24 × 1,226,482.24
  4. Step 4: Simplify right side
    568,176.12x = 1,504,258,690,401.28
  5. Step 5: Solve for x
    x = 1,504,258,690,401.28/568,176.12
  6. Step 6: Final answer
    x = 2,647,521.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.