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Finding the Third Proportional to 605,504 and 1,427,342

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Solution

The third proportional to 605,504 and 1,427,342 is: 3,364,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,504 : 1,427,342 = 1,427,342 : x
  2. Step 2: Convert to fraction form
    605,504/1,427,342 = 1,427,342/x
  3. Step 3: Cross multiply
    605,504x = 1,427,342 × 1,427,342
  4. Step 4: Simplify right side
    605,504x = 2,037,305,184,964
  5. Step 5: Solve for x
    x = 2,037,305,184,964/605,504
  6. Step 6: Final answer
    x = 3,364,643.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.