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Finding the Third Proportional to 410,765 and 888,922

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Solution

The third proportional to 410,765 and 888,922 is: 1,923,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,765 : 888,922 = 888,922 : x
  2. Step 2: Convert to fraction form
    410,765/888,922 = 888,922/x
  3. Step 3: Cross multiply
    410,765x = 888,922 × 888,922
  4. Step 4: Simplify right side
    410,765x = 790,182,322,084
  5. Step 5: Solve for x
    x = 790,182,322,084/410,765
  6. Step 6: Final answer
    x = 1,923,684.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.