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Finding the Third Proportional to 605,460 and 1,297,851

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Solution

The third proportional to 605,460 and 1,297,851 is: 2,782,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,460 : 1,297,851 = 1,297,851 : x
  2. Step 2: Convert to fraction form
    605,460/1,297,851 = 1,297,851/x
  3. Step 3: Cross multiply
    605,460x = 1,297,851 × 1,297,851
  4. Step 4: Simplify right side
    605,460x = 1,684,417,218,201
  5. Step 5: Solve for x
    x = 1,684,417,218,201/605,460
  6. Step 6: Final answer
    x = 2,782,045.42

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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.