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Finding the Third Proportional to 605,440 and 1,297,812

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Solution

The third proportional to 605,440 and 1,297,812 is: 2,781,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,440 : 1,297,812 = 1,297,812 : x
  2. Step 2: Convert to fraction form
    605,440/1,297,812 = 1,297,812/x
  3. Step 3: Cross multiply
    605,440x = 1,297,812 × 1,297,812
  4. Step 4: Simplify right side
    605,440x = 1,684,315,987,344
  5. Step 5: Solve for x
    x = 1,684,315,987,344/605,440
  6. Step 6: Final answer
    x = 2,781,970.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.