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Finding the Third Proportional to 691,326 and 1,437,834

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Solution

The third proportional to 691,326 and 1,437,834 is: 2,990,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,326 : 1,437,834 = 1,437,834 : x
  2. Step 2: Convert to fraction form
    691,326/1,437,834 = 1,437,834/x
  3. Step 3: Cross multiply
    691,326x = 1,437,834 × 1,437,834
  4. Step 4: Simplify right side
    691,326x = 2,067,366,611,556
  5. Step 5: Solve for x
    x = 2,067,366,611,556/691,326
  6. Step 6: Final answer
    x = 2,990,436.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.