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Finding the Third Proportional to 424,264 and 914,914

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Solution

The third proportional to 424,264 and 914,914 is: 1,972,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,264 : 914,914 = 914,914 : x
  2. Step 2: Convert to fraction form
    424,264/914,914 = 914,914/x
  3. Step 3: Cross multiply
    424,264x = 914,914 × 914,914
  4. Step 4: Simplify right side
    424,264x = 837,067,627,396
  5. Step 5: Solve for x
    x = 837,067,627,396/424,264
  6. Step 6: Final answer
    x = 1,972,987.64

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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.