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Finding the Third Proportional to 605,865 and 1,274,407

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Solution

The third proportional to 605,865 and 1,274,407 is: 2,680,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,865 : 1,274,407 = 1,274,407 : x
  2. Step 2: Convert to fraction form
    605,865/1,274,407 = 1,274,407/x
  3. Step 3: Cross multiply
    605,865x = 1,274,407 × 1,274,407
  4. Step 4: Simplify right side
    605,865x = 1,624,113,201,649
  5. Step 5: Solve for x
    x = 1,624,113,201,649/605,865
  6. Step 6: Final answer
    x = 2,680,651.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.