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Finding the Third Proportional to 559,622 and 1,221,689

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Solution

The third proportional to 559,622 and 1,221,689 is: 2,667,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,622 : 1,221,689 = 1,221,689 : x
  2. Step 2: Convert to fraction form
    559,622/1,221,689 = 1,221,689/x
  3. Step 3: Cross multiply
    559,622x = 1,221,689 × 1,221,689
  4. Step 4: Simplify right side
    559,622x = 1,492,524,012,721
  5. Step 5: Solve for x
    x = 1,492,524,012,721/559,622
  6. Step 6: Final answer
    x = 2,667,021.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.