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Finding the Third Proportional to 601,474 and 1,306,596

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Solution

The third proportional to 601,474 and 1,306,596 is: 2,838,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,474 : 1,306,596 = 1,306,596 : x
  2. Step 2: Convert to fraction form
    601,474/1,306,596 = 1,306,596/x
  3. Step 3: Cross multiply
    601,474x = 1,306,596 × 1,306,596
  4. Step 4: Simplify right side
    601,474x = 1,707,193,107,216
  5. Step 5: Solve for x
    x = 1,707,193,107,216/601,474
  6. Step 6: Final answer
    x = 2,838,348.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.