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Finding the Third Proportional to 404,517 and 879,630

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Solution

The third proportional to 404,517 and 879,630 is: 1,912,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,517 : 879,630 = 879,630 : x
  2. Step 2: Convert to fraction form
    404,517/879,630 = 879,630/x
  3. Step 3: Cross multiply
    404,517x = 879,630 × 879,630
  4. Step 4: Simplify right side
    404,517x = 773,748,936,900
  5. Step 5: Solve for x
    x = 773,748,936,900/404,517
  6. Step 6: Final answer
    x = 1,912,772.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.