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Finding the Third Proportional to 404,664 and 886,422

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Solution

The third proportional to 404,664 and 886,422 is: 1,941,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,664 : 886,422 = 886,422 : x
  2. Step 2: Convert to fraction form
    404,664/886,422 = 886,422/x
  3. Step 3: Cross multiply
    404,664x = 886,422 × 886,422
  4. Step 4: Simplify right side
    404,664x = 785,743,962,084
  5. Step 5: Solve for x
    x = 785,743,962,084/404,664
  6. Step 6: Final answer
    x = 1,941,719.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.