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Finding the Third Proportional to 487,990 and 1,035,027

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Solution

The third proportional to 487,990 and 1,035,027 is: 2,195,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,990 : 1,035,027 = 1,035,027 : x
  2. Step 2: Convert to fraction form
    487,990/1,035,027 = 1,035,027/x
  3. Step 3: Cross multiply
    487,990x = 1,035,027 × 1,035,027
  4. Step 4: Simplify right side
    487,990x = 1,071,280,890,729
  5. Step 5: Solve for x
    x = 1,071,280,890,729/487,990
  6. Step 6: Final answer
    x = 2,195,292.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.