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Finding the Third Proportional to 605,976 and 1,275,840

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Solution

The third proportional to 605,976 and 1,275,840 is: 2,686,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,976 : 1,275,840 = 1,275,840 : x
  2. Step 2: Convert to fraction form
    605,976/1,275,840 = 1,275,840/x
  3. Step 3: Cross multiply
    605,976x = 1,275,840 × 1,275,840
  4. Step 4: Simplify right side
    605,976x = 1,627,767,705,600
  5. Step 5: Solve for x
    x = 1,627,767,705,600/605,976
  6. Step 6: Final answer
    x = 2,686,191.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.