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Finding the Third Proportional to 596,802 and 1,221,177

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Solution

The third proportional to 596,802 and 1,221,177 is: 2,498,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,802 : 1,221,177 = 1,221,177 : x
  2. Step 2: Convert to fraction form
    596,802/1,221,177 = 1,221,177/x
  3. Step 3: Cross multiply
    596,802x = 1,221,177 × 1,221,177
  4. Step 4: Simplify right side
    596,802x = 1,491,273,265,329
  5. Step 5: Solve for x
    x = 1,491,273,265,329/596,802
  6. Step 6: Final answer
    x = 2,498,773.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.