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Finding the Third Proportional to 605,406 and 1,284,609

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Solution

The third proportional to 605,406 and 1,284,609 is: 2,725,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,406 : 1,284,609 = 1,284,609 : x
  2. Step 2: Convert to fraction form
    605,406/1,284,609 = 1,284,609/x
  3. Step 3: Cross multiply
    605,406x = 1,284,609 × 1,284,609
  4. Step 4: Simplify right side
    605,406x = 1,650,220,282,881
  5. Step 5: Solve for x
    x = 1,650,220,282,881/605,406
  6. Step 6: Final answer
    x = 2,725,807.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.