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Finding the Third Proportional to 597,892 and 1,284,536

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Solution

The third proportional to 597,892 and 1,284,536 is: 2,759,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,892 : 1,284,536 = 1,284,536 : x
  2. Step 2: Convert to fraction form
    597,892/1,284,536 = 1,284,536/x
  3. Step 3: Cross multiply
    597,892x = 1,284,536 × 1,284,536
  4. Step 4: Simplify right side
    597,892x = 1,650,032,735,296
  5. Step 5: Solve for x
    x = 1,650,032,735,296/597,892
  6. Step 6: Final answer
    x = 2,759,750.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.