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Finding the Third Proportional to 1,065,170.25 and 1,498,233

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Solution

The third proportional to 1,065,170.25 and 1,498,233 is: 2,107,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,170.25 : 1,498,233 = 1,498,233 : x
  2. Step 2: Convert to fraction form
    1,065,170.25/1,498,233 = 1,498,233/x
  3. Step 3: Cross multiply
    1,065,170.25x = 1,498,233 × 1,498,233
  4. Step 4: Simplify right side
    1,065,170.25x = 2,244,702,122,289
  5. Step 5: Solve for x
    x = 2,244,702,122,289/1,065,170.25
  6. Step 6: Final answer
    x = 2,107,364.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.