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Finding the Third Proportional to 664,228 and 1,004,206

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Solution

The third proportional to 664,228 and 1,004,206 is: 1,518,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,228 : 1,004,206 = 1,004,206 : x
  2. Step 2: Convert to fraction form
    664,228/1,004,206 = 1,004,206/x
  3. Step 3: Cross multiply
    664,228x = 1,004,206 × 1,004,206
  4. Step 4: Simplify right side
    664,228x = 1,008,429,690,436
  5. Step 5: Solve for x
    x = 1,008,429,690,436/664,228
  6. Step 6: Final answer
    x = 1,518,198.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.