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Finding the Third Proportional to 691,864.88 and 1,519,941.38

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Solution

The third proportional to 691,864.88 and 1,519,941.38 is: 3,339,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,864.88 : 1,519,941.38 = 1,519,941.38 : x
  2. Step 2: Convert to fraction form
    691,864.88/1,519,941.38 = 1,519,941.38/x
  3. Step 3: Cross multiply
    691,864.88x = 1,519,941.38 × 1,519,941.38
  4. Step 4: Simplify right side
    691,864.88x = 2,310,221,783,436.89
  5. Step 5: Solve for x
    x = 2,310,221,783,436.89/691,864.88
  6. Step 6: Final answer
    x = 3,339,122.81

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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.