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Finding the Third Proportional to 601,584 and 1,337,661

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Solution

The third proportional to 601,584 and 1,337,661 is: 2,974,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,584 : 1,337,661 = 1,337,661 : x
  2. Step 2: Convert to fraction form
    601,584/1,337,661 = 1,337,661/x
  3. Step 3: Cross multiply
    601,584x = 1,337,661 × 1,337,661
  4. Step 4: Simplify right side
    601,584x = 1,789,336,950,921
  5. Step 5: Solve for x
    x = 1,789,336,950,921/601,584
  6. Step 6: Final answer
    x = 2,974,375.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.