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Finding the Third Proportional to 691,302 and 1,437,782

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Solution

The third proportional to 691,302 and 1,437,782 is: 2,990,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,302 : 1,437,782 = 1,437,782 : x
  2. Step 2: Convert to fraction form
    691,302/1,437,782 = 1,437,782/x
  3. Step 3: Cross multiply
    691,302x = 1,437,782 × 1,437,782
  4. Step 4: Simplify right side
    691,302x = 2,067,217,079,524
  5. Step 5: Solve for x
    x = 2,067,217,079,524/691,302
  6. Step 6: Final answer
    x = 2,990,324.17

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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.