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Finding the Third Proportional to 606,496 and 897,922

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Solution

The third proportional to 606,496 and 897,922 is: 1,329,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,496 : 897,922 = 897,922 : x
  2. Step 2: Convert to fraction form
    606,496/897,922 = 897,922/x
  3. Step 3: Cross multiply
    606,496x = 897,922 × 897,922
  4. Step 4: Simplify right side
    606,496x = 806,263,918,084
  5. Step 5: Solve for x
    x = 806,263,918,084/606,496
  6. Step 6: Final answer
    x = 1,329,380.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.