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Finding the Third Proportional to 605,622 and 1,314,273

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Solution

The third proportional to 605,622 and 1,314,273 is: 2,852,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,622 : 1,314,273 = 1,314,273 : x
  2. Step 2: Convert to fraction form
    605,622/1,314,273 = 1,314,273/x
  3. Step 3: Cross multiply
    605,622x = 1,314,273 × 1,314,273
  4. Step 4: Simplify right side
    605,622x = 1,727,313,518,529
  5. Step 5: Solve for x
    x = 1,727,313,518,529/605,622
  6. Step 6: Final answer
    x = 2,852,131.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.