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Finding the Third Proportional to 974,682 and 1,462,027

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Solution

The third proportional to 974,682 and 1,462,027 is: 2,193,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,682 : 1,462,027 = 1,462,027 : x
  2. Step 2: Convert to fraction form
    974,682/1,462,027 = 1,462,027/x
  3. Step 3: Cross multiply
    974,682x = 1,462,027 × 1,462,027
  4. Step 4: Simplify right side
    974,682x = 2,137,522,948,729
  5. Step 5: Solve for x
    x = 2,137,522,948,729/974,682
  6. Step 6: Final answer
    x = 2,193,046.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.