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Finding the Third Proportional to 568,178.61 and 1,226,491.24

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Solution

The third proportional to 568,178.61 and 1,226,491.24 is: 2,647,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,178.61 : 1,226,491.24 = 1,226,491.24 : x
  2. Step 2: Convert to fraction form
    568,178.61/1,226,491.24 = 1,226,491.24/x
  3. Step 3: Cross multiply
    568,178.61x = 1,226,491.24 × 1,226,491.24
  4. Step 4: Simplify right side
    568,178.61x = 1,504,280,767,162.64
  5. Step 5: Solve for x
    x = 1,504,280,767,162.64/568,178.61
  6. Step 6: Final answer
    x = 2,647,549.08

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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.