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Finding the Third Proportional to 3,783,704.91 and 5,874,924.94

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Solution

The third proportional to 3,783,704.91 and 5,874,924.94 is: 9,121,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,704.91 : 5,874,924.94 = 5,874,924.94 : x
  2. Step 2: Convert to fraction form
    3,783,704.91/5,874,924.94 = 5,874,924.94/x
  3. Step 3: Cross multiply
    3,783,704.91x = 5,874,924.94 × 5,874,924.94
  4. Step 4: Simplify right side
    3,783,704.91x = 34,514,743,021,259.38
  5. Step 5: Solve for x
    x = 34,514,743,021,259.38/3,783,704.91
  6. Step 6: Final answer
    x = 9,121,943.67

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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.