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Finding the Third Proportional to 411,199 and 876,686

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Solution

The third proportional to 411,199 and 876,686 is: 1,869,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,199 : 876,686 = 876,686 : x
  2. Step 2: Convert to fraction form
    411,199/876,686 = 876,686/x
  3. Step 3: Cross multiply
    411,199x = 876,686 × 876,686
  4. Step 4: Simplify right side
    411,199x = 768,578,342,596
  5. Step 5: Solve for x
    x = 768,578,342,596/411,199
  6. Step 6: Final answer
    x = 1,869,115.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.