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Finding the Third Proportional to 423,967 and 914,404

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Solution

The third proportional to 423,967 and 914,404 is: 1,972,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,967 : 914,404 = 914,404 : x
  2. Step 2: Convert to fraction form
    423,967/914,404 = 914,404/x
  3. Step 3: Cross multiply
    423,967x = 914,404 × 914,404
  4. Step 4: Simplify right side
    423,967x = 836,134,675,216
  5. Step 5: Solve for x
    x = 836,134,675,216/423,967
  6. Step 6: Final answer
    x = 1,972,169.24

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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.