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Finding the Third Proportional to 601,452 and 1,296,927

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Solution

The third proportional to 601,452 and 1,296,927 is: 2,796,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,452 : 1,296,927 = 1,296,927 : x
  2. Step 2: Convert to fraction form
    601,452/1,296,927 = 1,296,927/x
  3. Step 3: Cross multiply
    601,452x = 1,296,927 × 1,296,927
  4. Step 4: Simplify right side
    601,452x = 1,682,019,643,329
  5. Step 5: Solve for x
    x = 1,682,019,643,329/601,452
  6. Step 6: Final answer
    x = 2,796,598.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.