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Finding the Third Proportional to 605,746 and 1,321,517

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Solution

The third proportional to 605,746 and 1,321,517 is: 2,883,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,746 : 1,321,517 = 1,321,517 : x
  2. Step 2: Convert to fraction form
    605,746/1,321,517 = 1,321,517/x
  3. Step 3: Cross multiply
    605,746x = 1,321,517 × 1,321,517
  4. Step 4: Simplify right side
    605,746x = 1,746,407,181,289
  5. Step 5: Solve for x
    x = 1,746,407,181,289/605,746
  6. Step 6: Final answer
    x = 2,883,068.45

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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.