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Finding the Third Proportional to 421,376 and 925,184

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Solution

The third proportional to 421,376 and 925,184 is: 2,031,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,376 : 925,184 = 925,184 : x
  2. Step 2: Convert to fraction form
    421,376/925,184 = 925,184/x
  3. Step 3: Cross multiply
    421,376x = 925,184 × 925,184
  4. Step 4: Simplify right side
    421,376x = 855,965,433,856
  5. Step 5: Solve for x
    x = 855,965,433,856/421,376
  6. Step 6: Final answer
    x = 2,031,357.82

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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.